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Finding the Fourth Proportional to 1,022.74, 1,529.82 and 862.31

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Solution

The fourth proportional to 1,022.74, 1,529.82 and 862.31 is: 1,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.74 : 1,529.82 = 862.31 : x
  2. Step 2: Convert to fraction form
    1,022.74/1,529.82 = 862.31/x
  3. Step 3: Cross multiply
    1,022.74x = 1,529.82 × 862.31
  4. Step 4: Simplify right side
    1,022.74x = 1,319,179.08
  5. Step 5: Solve for x
    x = 1,319,179.08/1,022.74
  6. Step 6: Final answer
    x = 1,289.85

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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.