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Finding the Fourth Proportional to 1,471.38, 2,207.06 and 445.38

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Solution

The fourth proportional to 1,471.38, 2,207.06 and 445.38 is: 668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.38 : 2,207.06 = 445.38 : x
  2. Step 2: Convert to fraction form
    1,471.38/2,207.06 = 445.38/x
  3. Step 3: Cross multiply
    1,471.38x = 2,207.06 × 445.38
  4. Step 4: Simplify right side
    1,471.38x = 982,970.46
  5. Step 5: Solve for x
    x = 982,970.46/1,471.38
  6. Step 6: Final answer
    x = 668.06

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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.