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Finding the Fourth Proportional to 893.32, 1,233 and 561.76

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Solution

The fourth proportional to 893.32, 1,233 and 561.76 is: 775.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.32 : 1,233 = 561.76 : x
  2. Step 2: Convert to fraction form
    893.32/1,233 = 561.76/x
  3. Step 3: Cross multiply
    893.32x = 1,233 × 561.76
  4. Step 4: Simplify right side
    893.32x = 692,650.08
  5. Step 5: Solve for x
    x = 692,650.08/893.32
  6. Step 6: Final answer
    x = 775.37

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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.