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Finding the Fourth Proportional to 757.40, 1,044.72 and 633.78

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Solution

The fourth proportional to 757.40, 1,044.72 and 633.78 is: 874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.40 : 1,044.72 = 633.78 : x
  2. Step 2: Convert to fraction form
    757.40/1,044.72 = 633.78/x
  3. Step 3: Cross multiply
    757.40x = 1,044.72 × 633.78
  4. Step 4: Simplify right side
    757.40x = 662,122.64
  5. Step 5: Solve for x
    x = 662,122.64/757.40
  6. Step 6: Final answer
    x = 874.21

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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.