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Finding the Fourth Proportional to 1,105.50, 1,658.48 and 375.13

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Solution

The fourth proportional to 1,105.50, 1,658.48 and 375.13 is: 562.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.50 : 1,658.48 = 375.13 : x
  2. Step 2: Convert to fraction form
    1,105.50/1,658.48 = 375.13/x
  3. Step 3: Cross multiply
    1,105.50x = 1,658.48 × 375.13
  4. Step 4: Simplify right side
    1,105.50x = 622,145.80
  5. Step 5: Solve for x
    x = 622,145.80/1,105.50
  6. Step 6: Final answer
    x = 562.77

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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.