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Finding the Fourth Proportional to 890.73, 1,229.14 and 497.78

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Solution

The fourth proportional to 890.73, 1,229.14 and 497.78 is: 686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.73 : 1,229.14 = 497.78 : x
  2. Step 2: Convert to fraction form
    890.73/1,229.14 = 497.78/x
  3. Step 3: Cross multiply
    890.73x = 1,229.14 × 497.78
  4. Step 4: Simplify right side
    890.73x = 611,841.31
  5. Step 5: Solve for x
    x = 611,841.31/890.73
  6. Step 6: Final answer
    x = 686.90

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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.