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Finding the Fourth Proportional to 1,264.27, 1,744.76 and 704.79

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Solution

The fourth proportional to 1,264.27, 1,744.76 and 704.79 is: 972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.27 : 1,744.76 = 704.79 : x
  2. Step 2: Convert to fraction form
    1,264.27/1,744.76 = 704.79/x
  3. Step 3: Cross multiply
    1,264.27x = 1,744.76 × 704.79
  4. Step 4: Simplify right side
    1,264.27x = 1,229,677.15
  5. Step 5: Solve for x
    x = 1,229,677.15/1,264.27
  6. Step 6: Final answer
    x = 972.64

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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.