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Finding the Fourth Proportional to 778.38, 1,073.82 and 463.66

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Solution

The fourth proportional to 778.38, 1,073.82 and 463.66 is: 639.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.38 : 1,073.82 = 463.66 : x
  2. Step 2: Convert to fraction form
    778.38/1,073.82 = 463.66/x
  3. Step 3: Cross multiply
    778.38x = 1,073.82 × 463.66
  4. Step 4: Simplify right side
    778.38x = 497,887.38
  5. Step 5: Solve for x
    x = 497,887.38/778.38
  6. Step 6: Final answer
    x = 639.65

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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.