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Finding the Fourth Proportional to 1,187.29, 1,781.08 and 494.43

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Solution

The fourth proportional to 1,187.29, 1,781.08 and 494.43 is: 741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.29 : 1,781.08 = 494.43 : x
  2. Step 2: Convert to fraction form
    1,187.29/1,781.08 = 494.43/x
  3. Step 3: Cross multiply
    1,187.29x = 1,781.08 × 494.43
  4. Step 4: Simplify right side
    1,187.29x = 880,617.87
  5. Step 5: Solve for x
    x = 880,617.87/1,187.29
  6. Step 6: Final answer
    x = 741.70

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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.