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Finding the Fourth Proportional to 1,471.52, 2,207.04 and 445.28

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Solution

The fourth proportional to 1,471.52, 2,207.04 and 445.28 is: 667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.52 : 2,207.04 = 445.28 : x
  2. Step 2: Convert to fraction form
    1,471.52/2,207.04 = 445.28/x
  3. Step 3: Cross multiply
    1,471.52x = 2,207.04 × 445.28
  4. Step 4: Simplify right side
    1,471.52x = 982,750.77
  5. Step 5: Solve for x
    x = 982,750.77/1,471.52
  6. Step 6: Final answer
    x = 667.85

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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.