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Finding the Fourth Proportional to 724.46, 998.07 and 592.70

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Solution

The fourth proportional to 724.46, 998.07 and 592.70 is: 816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.46 : 998.07 = 592.70 : x
  2. Step 2: Convert to fraction form
    724.46/998.07 = 592.70/x
  3. Step 3: Cross multiply
    724.46x = 998.07 × 592.70
  4. Step 4: Simplify right side
    724.46x = 591,556.09
  5. Step 5: Solve for x
    x = 591,556.09/724.46
  6. Step 6: Final answer
    x = 816.55

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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.