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Finding the Fourth Proportional to 1,266.44, 1,747.86 and 892.76

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Solution

The fourth proportional to 1,266.44, 1,747.86 and 892.76 is: 1,232.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.44 : 1,747.86 = 892.76 : x
  2. Step 2: Convert to fraction form
    1,266.44/1,747.86 = 892.76/x
  3. Step 3: Cross multiply
    1,266.44x = 1,747.86 × 892.76
  4. Step 4: Simplify right side
    1,266.44x = 1,560,419.49
  5. Step 5: Solve for x
    x = 1,560,419.49/1,266.44
  6. Step 6: Final answer
    x = 1,232.13

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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.