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Finding the Fourth Proportional to 1,118.38, 1,677.10 and 387.85

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Solution

The fourth proportional to 1,118.38, 1,677.10 and 387.85 is: 581.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.38 : 1,677.10 = 387.85 : x
  2. Step 2: Convert to fraction form
    1,118.38/1,677.10 = 387.85/x
  3. Step 3: Cross multiply
    1,118.38x = 1,677.10 × 387.85
  4. Step 4: Simplify right side
    1,118.38x = 650,463.24
  5. Step 5: Solve for x
    x = 650,463.24/1,118.38
  6. Step 6: Final answer
    x = 581.61

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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.