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Finding the Fourth Proportional to 729, 1,007.28 and 571.50

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Solution

The fourth proportional to 729, 1,007.28 and 571.50 is: 789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    729 : 1,007.28 = 571.50 : x
  2. Step 2: Convert to fraction form
    729/1,007.28 = 571.50/x
  3. Step 3: Cross multiply
    729x = 1,007.28 × 571.50
  4. Step 4: Simplify right side
    729x = 575,660.52
  5. Step 5: Solve for x
    x = 575,660.52/729
  6. Step 6: Final answer
    x = 789.66

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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.