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Finding the Fourth Proportional to 729.56, 1,006.02 and 467.12

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Solution

The fourth proportional to 729.56, 1,006.02 and 467.12 is: 644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.56 : 1,006.02 = 467.12 : x
  2. Step 2: Convert to fraction form
    729.56/1,006.02 = 467.12/x
  3. Step 3: Cross multiply
    729.56x = 1,006.02 × 467.12
  4. Step 4: Simplify right side
    729.56x = 469,932.06
  5. Step 5: Solve for x
    x = 469,932.06/729.56
  6. Step 6: Final answer
    x = 644.13

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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.