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Finding the Fourth Proportional to 838.73, 1,158.02 and 524.47

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Solution

The fourth proportional to 838.73, 1,158.02 and 524.47 is: 724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.73 : 1,158.02 = 524.47 : x
  2. Step 2: Convert to fraction form
    838.73/1,158.02 = 524.47/x
  3. Step 3: Cross multiply
    838.73x = 1,158.02 × 524.47
  4. Step 4: Simplify right side
    838.73x = 607,346.75
  5. Step 5: Solve for x
    x = 607,346.75/838.73
  6. Step 6: Final answer
    x = 724.13

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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.