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Finding the Fourth Proportional to 997.65, 1,376.52 and 749.57

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Solution

The fourth proportional to 997.65, 1,376.52 and 749.57 is: 1,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.65 : 1,376.52 = 749.57 : x
  2. Step 2: Convert to fraction form
    997.65/1,376.52 = 749.57/x
  3. Step 3: Cross multiply
    997.65x = 1,376.52 × 749.57
  4. Step 4: Simplify right side
    997.65x = 1,031,791.21
  5. Step 5: Solve for x
    x = 1,031,791.21/997.65
  6. Step 6: Final answer
    x = 1,034.22

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Why These Related Problems?

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