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Finding the Fourth Proportional to 1,117.65, 1,676.49 and 387.18

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Solution

The fourth proportional to 1,117.65, 1,676.49 and 387.18 is: 580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.65 : 1,676.49 = 387.18 : x
  2. Step 2: Convert to fraction form
    1,117.65/1,676.49 = 387.18/x
  3. Step 3: Cross multiply
    1,117.65x = 1,676.49 × 387.18
  4. Step 4: Simplify right side
    1,117.65x = 649,103.40
  5. Step 5: Solve for x
    x = 649,103.40/1,117.65
  6. Step 6: Final answer
    x = 580.78

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Why These Related Problems?

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