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Finding the Fourth Proportional to 1,315.91, 1,815.19 and 850.16

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Solution

The fourth proportional to 1,315.91, 1,815.19 and 850.16 is: 1,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.91 : 1,815.19 = 850.16 : x
  2. Step 2: Convert to fraction form
    1,315.91/1,815.19 = 850.16/x
  3. Step 3: Cross multiply
    1,315.91x = 1,815.19 × 850.16
  4. Step 4: Simplify right side
    1,315.91x = 1,543,190.73
  5. Step 5: Solve for x
    x = 1,543,190.73/1,315.91
  6. Step 6: Final answer
    x = 1,172.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.