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Finding the Fourth Proportional to 778.35, 1,073.90 and 463.35

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Solution

The fourth proportional to 778.35, 1,073.90 and 463.35 is: 639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.35 : 1,073.90 = 463.35 : x
  2. Step 2: Convert to fraction form
    778.35/1,073.90 = 463.35/x
  3. Step 3: Cross multiply
    778.35x = 1,073.90 × 463.35
  4. Step 4: Simplify right side
    778.35x = 497,591.57
  5. Step 5: Solve for x
    x = 497,591.57/778.35
  6. Step 6: Final answer
    x = 639.29

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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.