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Finding the Fourth Proportional to 724.16, 997.88 and 592.94

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Solution

The fourth proportional to 724.16, 997.88 and 592.94 is: 817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.16 : 997.88 = 592.94 : x
  2. Step 2: Convert to fraction form
    724.16/997.88 = 592.94/x
  3. Step 3: Cross multiply
    724.16x = 997.88 × 592.94
  4. Step 4: Simplify right side
    724.16x = 591,682.50
  5. Step 5: Solve for x
    x = 591,682.50/724.16
  6. Step 6: Final answer
    x = 817.06

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Why These Related Problems?

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