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Finding the Fourth Proportional to 896.76, 1,237.64 and 687.24

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Solution

The fourth proportional to 896.76, 1,237.64 and 687.24 is: 948.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.76 : 1,237.64 = 687.24 : x
  2. Step 2: Convert to fraction form
    896.76/1,237.64 = 687.24/x
  3. Step 3: Cross multiply
    896.76x = 1,237.64 × 687.24
  4. Step 4: Simplify right side
    896.76x = 850,555.71
  5. Step 5: Solve for x
    x = 850,555.71/896.76
  6. Step 6: Final answer
    x = 948.48

Related Problems

Find fourth proportional to 448.38, 618.82 and 343.62
Half scale
Find fourth proportional to 1,793.52, 2,475.28 and 1,374.48
Double scale
Find fourth proportional to 897.76, 1,239.02 and 688.24
Similar ratio
Find fourth proportional to 1,345.14, 1,856.46 and 1,030.86
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.