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Finding the Fourth Proportional to 1,207.28, 1,666.20 and 741.44

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Solution

The fourth proportional to 1,207.28, 1,666.20 and 741.44 is: 1,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.28 : 1,666.20 = 741.44 : x
  2. Step 2: Convert to fraction form
    1,207.28/1,666.20 = 741.44/x
  3. Step 3: Cross multiply
    1,207.28x = 1,666.20 × 741.44
  4. Step 4: Simplify right side
    1,207.28x = 1,235,387.33
  5. Step 5: Solve for x
    x = 1,235,387.33/1,207.28
  6. Step 6: Final answer
    x = 1,023.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.