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Finding the Fourth Proportional to 1,266.34, 1,747.66 and 769.10

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Solution

The fourth proportional to 1,266.34, 1,747.66 and 769.10 is: 1,061.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.34 : 1,747.66 = 769.10 : x
  2. Step 2: Convert to fraction form
    1,266.34/1,747.66 = 769.10/x
  3. Step 3: Cross multiply
    1,266.34x = 1,747.66 × 769.10
  4. Step 4: Simplify right side
    1,266.34x = 1,344,125.31
  5. Step 5: Solve for x
    x = 1,344,125.31/1,266.34
  6. Step 6: Final answer
    x = 1,061.43

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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.