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Finding the Fourth Proportional to 1,187.75, 1,781.90 and 418.25

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Solution

The fourth proportional to 1,187.75, 1,781.90 and 418.25 is: 627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.75 : 1,781.90 = 418.25 : x
  2. Step 2: Convert to fraction form
    1,187.75/1,781.90 = 418.25/x
  3. Step 3: Cross multiply
    1,187.75x = 1,781.90 × 418.25
  4. Step 4: Simplify right side
    1,187.75x = 745,279.68
  5. Step 5: Solve for x
    x = 745,279.68/1,187.75
  6. Step 6: Final answer
    x = 627.47

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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.