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Finding the Fourth Proportional to 1,266.53, 1,747.69 and 769.14

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Solution

The fourth proportional to 1,266.53, 1,747.69 and 769.14 is: 1,061.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.53 : 1,747.69 = 769.14 : x
  2. Step 2: Convert to fraction form
    1,266.53/1,747.69 = 769.14/x
  3. Step 3: Cross multiply
    1,266.53x = 1,747.69 × 769.14
  4. Step 4: Simplify right side
    1,266.53x = 1,344,216.36
  5. Step 5: Solve for x
    x = 1,344,216.36/1,266.53
  6. Step 6: Final answer
    x = 1,061.34

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Double scale
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1.5x scale

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.