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Finding the Fourth Proportional to 778.64, 1,167.14 and 431.55

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Solution

The fourth proportional to 778.64, 1,167.14 and 431.55 is: 646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.64 : 1,167.14 = 431.55 : x
  2. Step 2: Convert to fraction form
    778.64/1,167.14 = 431.55/x
  3. Step 3: Cross multiply
    778.64x = 1,167.14 × 431.55
  4. Step 4: Simplify right side
    778.64x = 503,680.35
  5. Step 5: Solve for x
    x = 503,680.35/778.64
  6. Step 6: Final answer
    x = 646.88

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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.