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Finding the Fourth Proportional to 781.49, 1,171.84 and 416.18

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Solution

The fourth proportional to 781.49, 1,171.84 and 416.18 is: 624.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.49 : 1,171.84 = 416.18 : x
  2. Step 2: Convert to fraction form
    781.49/1,171.84 = 416.18/x
  3. Step 3: Cross multiply
    781.49x = 1,171.84 × 416.18
  4. Step 4: Simplify right side
    781.49x = 487,696.37
  5. Step 5: Solve for x
    x = 487,696.37/781.49
  6. Step 6: Final answer
    x = 624.06

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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.