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Finding the Fourth Proportional to 778.49, 1,073.10 and 529.38

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Solution

The fourth proportional to 778.49, 1,073.10 and 529.38 is: 729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.49 : 1,073.10 = 529.38 : x
  2. Step 2: Convert to fraction form
    778.49/1,073.10 = 529.38/x
  3. Step 3: Cross multiply
    778.49x = 1,073.10 × 529.38
  4. Step 4: Simplify right side
    778.49x = 568,077.68
  5. Step 5: Solve for x
    x = 568,077.68/778.49
  6. Step 6: Final answer
    x = 729.72

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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.