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Finding the Fourth Proportional to 1,108.48, 1,663.68 and 742.72

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Solution

The fourth proportional to 1,108.48, 1,663.68 and 742.72 is: 1,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.48 : 1,663.68 = 742.72 : x
  2. Step 2: Convert to fraction form
    1,108.48/1,663.68 = 742.72/x
  3. Step 3: Cross multiply
    1,108.48x = 1,663.68 × 742.72
  4. Step 4: Simplify right side
    1,108.48x = 1,235,648.41
  5. Step 5: Solve for x
    x = 1,235,648.41/1,108.48
  6. Step 6: Final answer
    x = 1,114.72

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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.