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Finding the Fourth Proportional to 890.63, 1,229.08 and 517.63

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Solution

The fourth proportional to 890.63, 1,229.08 and 517.63 is: 714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.63 : 1,229.08 = 517.63 : x
  2. Step 2: Convert to fraction form
    890.63/1,229.08 = 517.63/x
  3. Step 3: Cross multiply
    890.63x = 1,229.08 × 517.63
  4. Step 4: Simplify right side
    890.63x = 636,201.24
  5. Step 5: Solve for x
    x = 636,201.24/890.63
  6. Step 6: Final answer
    x = 714.33

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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.