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Finding the Fourth Proportional to 1,237.76, 1,708.15 and 678.23

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Solution

The fourth proportional to 1,237.76, 1,708.15 and 678.23 is: 935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.76 : 1,708.15 = 678.23 : x
  2. Step 2: Convert to fraction form
    1,237.76/1,708.15 = 678.23/x
  3. Step 3: Cross multiply
    1,237.76x = 1,708.15 × 678.23
  4. Step 4: Simplify right side
    1,237.76x = 1,158,510.91
  5. Step 5: Solve for x
    x = 1,158,510.91/1,237.76
  6. Step 6: Final answer
    x = 935.98

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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.