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Finding the Fourth Proportional to 729.68, 1,007.06 and 415.04

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Solution

The fourth proportional to 729.68, 1,007.06 and 415.04 is: 572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.68 : 1,007.06 = 415.04 : x
  2. Step 2: Convert to fraction form
    729.68/1,007.06 = 415.04/x
  3. Step 3: Cross multiply
    729.68x = 1,007.06 × 415.04
  4. Step 4: Simplify right side
    729.68x = 417,963.07
  5. Step 5: Solve for x
    x = 417,963.07/729.68
  6. Step 6: Final answer
    x = 572.81

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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.