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Finding the Fourth Proportional to 842.61, 1,261.35 and 734.61

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Solution

The fourth proportional to 842.61, 1,261.35 and 734.61 is: 1,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.61 : 1,261.35 = 734.61 : x
  2. Step 2: Convert to fraction form
    842.61/1,261.35 = 734.61/x
  3. Step 3: Cross multiply
    842.61x = 1,261.35 × 734.61
  4. Step 4: Simplify right side
    842.61x = 926,600.32
  5. Step 5: Solve for x
    x = 926,600.32/842.61
  6. Step 6: Final answer
    x = 1,099.68

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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.