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Finding the Fourth Proportional to 842.28, 1,163.46 and 702.86

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Solution

The fourth proportional to 842.28, 1,163.46 and 702.86 is: 970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.28 : 1,163.46 = 702.86 : x
  2. Step 2: Convert to fraction form
    842.28/1,163.46 = 702.86/x
  3. Step 3: Cross multiply
    842.28x = 1,163.46 × 702.86
  4. Step 4: Simplify right side
    842.28x = 817,749.50
  5. Step 5: Solve for x
    x = 817,749.50/842.28
  6. Step 6: Final answer
    x = 970.88

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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.