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Finding the Fourth Proportional to 1,117.74, 1,676.76 and 387.27

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Solution

The fourth proportional to 1,117.74, 1,676.76 and 387.27 is: 580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.74 : 1,676.76 = 387.27 : x
  2. Step 2: Convert to fraction form
    1,117.74/1,676.76 = 387.27/x
  3. Step 3: Cross multiply
    1,117.74x = 1,676.76 × 387.27
  4. Step 4: Simplify right side
    1,117.74x = 649,358.85
  5. Step 5: Solve for x
    x = 649,358.85/1,117.74
  6. Step 6: Final answer
    x = 580.96

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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.