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Finding the Fourth Proportional to 1,446.01, 2,169.30 and 471.85

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Solution

The fourth proportional to 1,446.01, 2,169.30 and 471.85 is: 707.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.01 : 2,169.30 = 471.85 : x
  2. Step 2: Convert to fraction form
    1,446.01/2,169.30 = 471.85/x
  3. Step 3: Cross multiply
    1,446.01x = 2,169.30 × 471.85
  4. Step 4: Simplify right side
    1,446.01x = 1,023,584.21
  5. Step 5: Solve for x
    x = 1,023,584.21/1,446.01
  6. Step 6: Final answer
    x = 707.87

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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.