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Finding the Fourth Proportional to 1,100.26, 1,517.34 and 701.74

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Solution

The fourth proportional to 1,100.26, 1,517.34 and 701.74 is: 967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.26 : 1,517.34 = 701.74 : x
  2. Step 2: Convert to fraction form
    1,100.26/1,517.34 = 701.74/x
  3. Step 3: Cross multiply
    1,100.26x = 1,517.34 × 701.74
  4. Step 4: Simplify right side
    1,100.26x = 1,064,778.17
  5. Step 5: Solve for x
    x = 1,064,778.17/1,100.26
  6. Step 6: Final answer
    x = 967.75

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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.