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Finding the Fourth Proportional to 850.75, 1,275.17 and 687.26

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Solution

The fourth proportional to 850.75, 1,275.17 and 687.26 is: 1,030.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.75 : 1,275.17 = 687.26 : x
  2. Step 2: Convert to fraction form
    850.75/1,275.17 = 687.26/x
  3. Step 3: Cross multiply
    850.75x = 1,275.17 × 687.26
  4. Step 4: Simplify right side
    850.75x = 876,373.33
  5. Step 5: Solve for x
    x = 876,373.33/850.75
  6. Step 6: Final answer
    x = 1,030.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.