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Finding the Fourth Proportional to 757.31, 1,044.86 and 520.79

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Solution

The fourth proportional to 757.31, 1,044.86 and 520.79 is: 718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.31 : 1,044.86 = 520.79 : x
  2. Step 2: Convert to fraction form
    757.31/1,044.86 = 520.79/x
  3. Step 3: Cross multiply
    757.31x = 1,044.86 × 520.79
  4. Step 4: Simplify right side
    757.31x = 544,144.81
  5. Step 5: Solve for x
    x = 544,144.81/757.31
  6. Step 6: Final answer
    x = 718.53

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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.