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Finding the Fourth Proportional to 1,015.29, 1,524.96 and 869.00

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Solution

The fourth proportional to 1,015.29, 1,524.96 and 869.00 is: 1,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.29 : 1,524.96 = 869.00 : x
  2. Step 2: Convert to fraction form
    1,015.29/1,524.96 = 869.00/x
  3. Step 3: Cross multiply
    1,015.29x = 1,524.96 × 869.00
  4. Step 4: Simplify right side
    1,015.29x = 1,325,182.62
  5. Step 5: Solve for x
    x = 1,325,182.62/1,015.29
  6. Step 6: Final answer
    x = 1,305.23

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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.