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Finding the Fourth Proportional to 724.83, 1,087.65 and 359.52

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Solution

The fourth proportional to 724.83, 1,087.65 and 359.52 is: 539.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.83 : 1,087.65 = 359.52 : x
  2. Step 2: Convert to fraction form
    724.83/1,087.65 = 359.52/x
  3. Step 3: Cross multiply
    724.83x = 1,087.65 × 359.52
  4. Step 4: Simplify right side
    724.83x = 391,031.93
  5. Step 5: Solve for x
    x = 391,031.93/724.83
  6. Step 6: Final answer
    x = 539.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.