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Finding the Fourth Proportional to 1,160.55, 1,739.11 and 850.95

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Solution

The fourth proportional to 1,160.55, 1,739.11 and 850.95 is: 1,275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.55 : 1,739.11 = 850.95 : x
  2. Step 2: Convert to fraction form
    1,160.55/1,739.11 = 850.95/x
  3. Step 3: Cross multiply
    1,160.55x = 1,739.11 × 850.95
  4. Step 4: Simplify right side
    1,160.55x = 1,479,891.40
  5. Step 5: Solve for x
    x = 1,479,891.40/1,160.55
  6. Step 6: Final answer
    x = 1,275.17

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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.