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Finding the Fourth Proportional to 1,187.69, 1,781.87 and 407.79

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Solution

The fourth proportional to 1,187.69, 1,781.87 and 407.79 is: 611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.69 : 1,781.87 = 407.79 : x
  2. Step 2: Convert to fraction form
    1,187.69/1,781.87 = 407.79/x
  3. Step 3: Cross multiply
    1,187.69x = 1,781.87 × 407.79
  4. Step 4: Simplify right side
    1,187.69x = 726,626.73
  5. Step 5: Solve for x
    x = 726,626.73/1,187.69
  6. Step 6: Final answer
    x = 611.80

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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.