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Finding the Fourth Proportional to 1,110.32, 1,665.84 and 461.12

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Solution

The fourth proportional to 1,110.32, 1,665.84 and 461.12 is: 691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.32 : 1,665.84 = 461.12 : x
  2. Step 2: Convert to fraction form
    1,110.32/1,665.84 = 461.12/x
  3. Step 3: Cross multiply
    1,110.32x = 1,665.84 × 461.12
  4. Step 4: Simplify right side
    1,110.32x = 768,152.14
  5. Step 5: Solve for x
    x = 768,152.14/1,110.32
  6. Step 6: Final answer
    x = 691.83

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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.