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Finding the Fourth Proportional to 729.81, 1,007.54 and 529.13

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Solution

The fourth proportional to 729.81, 1,007.54 and 529.13 is: 730.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.81 : 1,007.54 = 529.13 : x
  2. Step 2: Convert to fraction form
    729.81/1,007.54 = 529.13/x
  3. Step 3: Cross multiply
    729.81x = 1,007.54 × 529.13
  4. Step 4: Simplify right side
    729.81x = 533,119.64
  5. Step 5: Solve for x
    x = 533,119.64/729.81
  6. Step 6: Final answer
    x = 730.49

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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.