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Finding the Fourth Proportional to 1,266.38, 1,747.56 and 735.24

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Solution

The fourth proportional to 1,266.38, 1,747.56 and 735.24 is: 1,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.38 : 1,747.56 = 735.24 : x
  2. Step 2: Convert to fraction form
    1,266.38/1,747.56 = 735.24/x
  3. Step 3: Cross multiply
    1,266.38x = 1,747.56 × 735.24
  4. Step 4: Simplify right side
    1,266.38x = 1,284,876.01
  5. Step 5: Solve for x
    x = 1,284,876.01/1,266.38
  6. Step 6: Final answer
    x = 1,014.61

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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.