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Finding the Fourth Proportional to 781.60, 1,170.78 and 635.80

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Solution

The fourth proportional to 781.60, 1,170.78 and 635.80 is: 952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.60 : 1,170.78 = 635.80 : x
  2. Step 2: Convert to fraction form
    781.60/1,170.78 = 635.80/x
  3. Step 3: Cross multiply
    781.60x = 1,170.78 × 635.80
  4. Step 4: Simplify right side
    781.60x = 744,381.92
  5. Step 5: Solve for x
    x = 744,381.92/781.60
  6. Step 6: Final answer
    x = 952.38

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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.