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Finding the Fourth Proportional to 1,118.28, 1,676.32 and 387.30

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Solution

The fourth proportional to 1,118.28, 1,676.32 and 387.30 is: 580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.28 : 1,676.32 = 387.30 : x
  2. Step 2: Convert to fraction form
    1,118.28/1,676.32 = 387.30/x
  3. Step 3: Cross multiply
    1,118.28x = 1,676.32 × 387.30
  4. Step 4: Simplify right side
    1,118.28x = 649,238.74
  5. Step 5: Solve for x
    x = 649,238.74/1,118.28
  6. Step 6: Final answer
    x = 580.57

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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.