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Finding the Fourth Proportional to 1,022.36, 1,535.56 and 876.04

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Solution

The fourth proportional to 1,022.36, 1,535.56 and 876.04 is: 1,315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.36 : 1,535.56 = 876.04 : x
  2. Step 2: Convert to fraction form
    1,022.36/1,535.56 = 876.04/x
  3. Step 3: Cross multiply
    1,022.36x = 1,535.56 × 876.04
  4. Step 4: Simplify right side
    1,022.36x = 1,345,211.98
  5. Step 5: Solve for x
    x = 1,345,211.98/1,022.36
  6. Step 6: Final answer
    x = 1,315.79

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