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Finding the Fourth Proportional to 1,108.10, 1,660.80 and 491.15

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Solution

The fourth proportional to 1,108.10, 1,660.80 and 491.15 is: 736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.10 : 1,660.80 = 491.15 : x
  2. Step 2: Convert to fraction form
    1,108.10/1,660.80 = 491.15/x
  3. Step 3: Cross multiply
    1,108.10x = 1,660.80 × 491.15
  4. Step 4: Simplify right side
    1,108.10x = 815,701.92
  5. Step 5: Solve for x
    x = 815,701.92/1,108.10
  6. Step 6: Final answer
    x = 736.13

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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.