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Finding the Fourth Proportional to 1,445.85, 2,169.24 and 471.73

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Solution

The fourth proportional to 1,445.85, 2,169.24 and 471.73 is: 707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.85 : 2,169.24 = 471.73 : x
  2. Step 2: Convert to fraction form
    1,445.85/2,169.24 = 471.73/x
  3. Step 3: Cross multiply
    1,445.85x = 2,169.24 × 471.73
  4. Step 4: Simplify right side
    1,445.85x = 1,023,288.39
  5. Step 5: Solve for x
    x = 1,023,288.39/1,445.85
  6. Step 6: Final answer
    x = 707.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.