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Finding the Fourth Proportional to 890.69, 1,229.11 and 517.64

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Solution

The fourth proportional to 890.69, 1,229.11 and 517.64 is: 714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.69 : 1,229.11 = 517.64 : x
  2. Step 2: Convert to fraction form
    890.69/1,229.11 = 517.64/x
  3. Step 3: Cross multiply
    890.69x = 1,229.11 × 517.64
  4. Step 4: Simplify right side
    890.69x = 636,229.06
  5. Step 5: Solve for x
    x = 636,229.06/890.69
  6. Step 6: Final answer
    x = 714.31

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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.