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Finding the Fourth Proportional to 1,102.48, 1,654.68 and 736.72

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Solution

The fourth proportional to 1,102.48, 1,654.68 and 736.72 is: 1,105.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.48 : 1,654.68 = 736.72 : x
  2. Step 2: Convert to fraction form
    1,102.48/1,654.68 = 736.72/x
  3. Step 3: Cross multiply
    1,102.48x = 1,654.68 × 736.72
  4. Step 4: Simplify right side
    1,102.48x = 1,219,035.85
  5. Step 5: Solve for x
    x = 1,219,035.85/1,102.48
  6. Step 6: Final answer
    x = 1,105.72

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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.