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Finding the Fourth Proportional to 1,015.11, 1,524.96 and 876.71

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Solution

The fourth proportional to 1,015.11, 1,524.96 and 876.71 is: 1,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.11 : 1,524.96 = 876.71 : x
  2. Step 2: Convert to fraction form
    1,015.11/1,524.96 = 876.71/x
  3. Step 3: Cross multiply
    1,015.11x = 1,524.96 × 876.71
  4. Step 4: Simplify right side
    1,015.11x = 1,336,947.68
  5. Step 5: Solve for x
    x = 1,336,947.68/1,015.11
  6. Step 6: Final answer
    x = 1,317.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.