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Finding the Fourth Proportional to 729.64, 1,007.86 and 540.97

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Solution

The fourth proportional to 729.64, 1,007.86 and 540.97 is: 747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.64 : 1,007.86 = 540.97 : x
  2. Step 2: Convert to fraction form
    729.64/1,007.86 = 540.97/x
  3. Step 3: Cross multiply
    729.64x = 1,007.86 × 540.97
  4. Step 4: Simplify right side
    729.64x = 545,222.02
  5. Step 5: Solve for x
    x = 545,222.02/729.64
  6. Step 6: Final answer
    x = 747.25

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