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Finding the Fourth Proportional to 781.57, 1,171.54 and 416.80

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Solution

The fourth proportional to 781.57, 1,171.54 and 416.80 is: 624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.57 : 1,171.54 = 416.80 : x
  2. Step 2: Convert to fraction form
    781.57/1,171.54 = 416.80/x
  3. Step 3: Cross multiply
    781.57x = 1,171.54 × 416.80
  4. Step 4: Simplify right side
    781.57x = 488,297.87
  5. Step 5: Solve for x
    x = 488,297.87/781.57
  6. Step 6: Final answer
    x = 624.77

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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.