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Finding the Fourth Proportional to 890.71, 1,229.13 and 497.74

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Solution

The fourth proportional to 890.71, 1,229.13 and 497.74 is: 686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.71 : 1,229.13 = 497.74 : x
  2. Step 2: Convert to fraction form
    890.71/1,229.13 = 497.74/x
  3. Step 3: Cross multiply
    890.71x = 1,229.13 × 497.74
  4. Step 4: Simplify right side
    890.71x = 611,787.17
  5. Step 5: Solve for x
    x = 611,787.17/890.71
  6. Step 6: Final answer
    x = 686.85

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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.