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Finding the Fourth Proportional to 1,105.80, 1,659.13 and 456.38

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Solution

The fourth proportional to 1,105.80, 1,659.13 and 456.38 is: 684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.80 : 1,659.13 = 456.38 : x
  2. Step 2: Convert to fraction form
    1,105.80/1,659.13 = 456.38/x
  3. Step 3: Cross multiply
    1,105.80x = 1,659.13 × 456.38
  4. Step 4: Simplify right side
    1,105.80x = 757,193.75
  5. Step 5: Solve for x
    x = 757,193.75/1,105.80
  6. Step 6: Final answer
    x = 684.75

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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.