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Finding the Fourth Proportional to 1,187.89, 1,781.87 and 494.58

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Solution

The fourth proportional to 1,187.89, 1,781.87 and 494.58 is: 741.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.89 : 1,781.87 = 494.58 : x
  2. Step 2: Convert to fraction form
    1,187.89/1,781.87 = 494.58/x
  3. Step 3: Cross multiply
    1,187.89x = 1,781.87 × 494.58
  4. Step 4: Simplify right side
    1,187.89x = 881,280.64
  5. Step 5: Solve for x
    x = 881,280.64/1,187.89
  6. Step 6: Final answer
    x = 741.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.