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Finding the Fourth Proportional to 757.42, 1,044.84 and 524.14

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Solution

The fourth proportional to 757.42, 1,044.84 and 524.14 is: 723.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.42 : 1,044.84 = 524.14 : x
  2. Step 2: Convert to fraction form
    757.42/1,044.84 = 524.14/x
  3. Step 3: Cross multiply
    757.42x = 1,044.84 × 524.14
  4. Step 4: Simplify right side
    757.42x = 547,642.44
  5. Step 5: Solve for x
    x = 547,642.44/757.42
  6. Step 6: Final answer
    x = 723.04

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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.