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Finding the Fourth Proportional to 1,146.87, 1,581.66 and 950.04

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Solution

The fourth proportional to 1,146.87, 1,581.66 and 950.04 is: 1,310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.87 : 1,581.66 = 950.04 : x
  2. Step 2: Convert to fraction form
    1,146.87/1,581.66 = 950.04/x
  3. Step 3: Cross multiply
    1,146.87x = 1,581.66 × 950.04
  4. Step 4: Simplify right side
    1,146.87x = 1,502,640.27
  5. Step 5: Solve for x
    x = 1,502,640.27/1,146.87
  6. Step 6: Final answer
    x = 1,310.21

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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.