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Finding the Fourth Proportional to 778.01, 1,165.19 and 560.52

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Solution

The fourth proportional to 778.01, 1,165.19 and 560.52 is: 839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.01 : 1,165.19 = 560.52 : x
  2. Step 2: Convert to fraction form
    778.01/1,165.19 = 560.52/x
  3. Step 3: Cross multiply
    778.01x = 1,165.19 × 560.52
  4. Step 4: Simplify right side
    778.01x = 653,109.50
  5. Step 5: Solve for x
    x = 653,109.50/778.01
  6. Step 6: Final answer
    x = 839.47

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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.