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Finding the Fourth Proportional to 724.55, 998.10 and 503.15

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Solution

The fourth proportional to 724.55, 998.10 and 503.15 is: 693.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.55 : 998.10 = 503.15 : x
  2. Step 2: Convert to fraction form
    724.55/998.10 = 503.15/x
  3. Step 3: Cross multiply
    724.55x = 998.10 × 503.15
  4. Step 4: Simplify right side
    724.55x = 502,189.02
  5. Step 5: Solve for x
    x = 502,189.02/724.55
  6. Step 6: Final answer
    x = 693.11

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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.