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Finding the Fourth Proportional to 1,187.73, 1,781.87 and 494.57

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Solution

The fourth proportional to 1,187.73, 1,781.87 and 494.57 is: 741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.73 : 1,781.87 = 494.57 : x
  2. Step 2: Convert to fraction form
    1,187.73/1,781.87 = 494.57/x
  3. Step 3: Cross multiply
    1,187.73x = 1,781.87 × 494.57
  4. Step 4: Simplify right side
    1,187.73x = 881,248.06
  5. Step 5: Solve for x
    x = 881,248.06/1,187.73
  6. Step 6: Final answer
    x = 741.96

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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.