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Finding the Fourth Proportional to 1,153.31, 1,589.81 and 951.71

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Solution

The fourth proportional to 1,153.31, 1,589.81 and 951.71 is: 1,311.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.31 : 1,589.81 = 951.71 : x
  2. Step 2: Convert to fraction form
    1,153.31/1,589.81 = 951.71/x
  3. Step 3: Cross multiply
    1,153.31x = 1,589.81 × 951.71
  4. Step 4: Simplify right side
    1,153.31x = 1,513,025.37
  5. Step 5: Solve for x
    x = 1,513,025.37/1,153.31
  6. Step 6: Final answer
    x = 1,311.90

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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.