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Finding the Fourth Proportional to 890.95, 1,229.29 and 517.70

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Solution

The fourth proportional to 890.95, 1,229.29 and 517.70 is: 714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.95 : 1,229.29 = 517.70 : x
  2. Step 2: Convert to fraction form
    890.95/1,229.29 = 517.70/x
  3. Step 3: Cross multiply
    890.95x = 1,229.29 × 517.70
  4. Step 4: Simplify right side
    890.95x = 636,397.29
  5. Step 5: Solve for x
    x = 636,397.29/890.95
  6. Step 6: Final answer
    x = 714.29

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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.