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Finding the Fourth Proportional to 1,432.28, 1,976.10 and 842.84

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Solution

The fourth proportional to 1,432.28, 1,976.10 and 842.84 is: 1,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.28 : 1,976.10 = 842.84 : x
  2. Step 2: Convert to fraction form
    1,432.28/1,976.10 = 842.84/x
  3. Step 3: Cross multiply
    1,432.28x = 1,976.10 × 842.84
  4. Step 4: Simplify right side
    1,432.28x = 1,665,536.12
  5. Step 5: Solve for x
    x = 1,665,536.12/1,432.28
  6. Step 6: Final answer
    x = 1,162.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.