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Finding the Fourth Proportional to 1,108.72, 1,663.04 and 849.18

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Solution

The fourth proportional to 1,108.72, 1,663.04 and 849.18 is: 1,273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.72 : 1,663.04 = 849.18 : x
  2. Step 2: Convert to fraction form
    1,108.72/1,663.04 = 849.18/x
  3. Step 3: Cross multiply
    1,108.72x = 1,663.04 × 849.18
  4. Step 4: Simplify right side
    1,108.72x = 1,412,220.31
  5. Step 5: Solve for x
    x = 1,412,220.31/1,108.72
  6. Step 6: Final answer
    x = 1,273.74

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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.