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Finding the Fourth Proportional to 778.14, 1,165.86 and 469.08

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Solution

The fourth proportional to 778.14, 1,165.86 and 469.08 is: 702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.14 : 1,165.86 = 469.08 : x
  2. Step 2: Convert to fraction form
    778.14/1,165.86 = 469.08/x
  3. Step 3: Cross multiply
    778.14x = 1,165.86 × 469.08
  4. Step 4: Simplify right side
    778.14x = 546,881.61
  5. Step 5: Solve for x
    x = 546,881.61/778.14
  6. Step 6: Final answer
    x = 702.81

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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.