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Finding the Fourth Proportional to 862.34, 1,293.82 and 532.89

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Solution

The fourth proportional to 862.34, 1,293.82 and 532.89 is: 799.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.34 : 1,293.82 = 532.89 : x
  2. Step 2: Convert to fraction form
    862.34/1,293.82 = 532.89/x
  3. Step 3: Cross multiply
    862.34x = 1,293.82 × 532.89
  4. Step 4: Simplify right side
    862.34x = 689,469.76
  5. Step 5: Solve for x
    x = 689,469.76/862.34
  6. Step 6: Final answer
    x = 799.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.