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Finding the Fourth Proportional to 1,110.92, 1,665.48 and 462.14

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Solution

The fourth proportional to 1,110.92, 1,665.48 and 462.14 is: 692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.92 : 1,665.48 = 462.14 : x
  2. Step 2: Convert to fraction form
    1,110.92/1,665.48 = 462.14/x
  3. Step 3: Cross multiply
    1,110.92x = 1,665.48 × 462.14
  4. Step 4: Simplify right side
    1,110.92x = 769,679.03
  5. Step 5: Solve for x
    x = 769,679.03/1,110.92
  6. Step 6: Final answer
    x = 692.83

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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.