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Finding the Fourth Proportional to 850.13, 1,275.20 and 265.15

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Solution

The fourth proportional to 850.13, 1,275.20 and 265.15 is: 397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.13 : 1,275.20 = 265.15 : x
  2. Step 2: Convert to fraction form
    850.13/1,275.20 = 265.15/x
  3. Step 3: Cross multiply
    850.13x = 1,275.20 × 265.15
  4. Step 4: Simplify right side
    850.13x = 338,116.75
  5. Step 5: Solve for x
    x = 338,116.75/850.13
  6. Step 6: Final answer
    x = 397.73

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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.