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Finding the Fourth Proportional to 842.74, 1,162.96 and 469.74

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Solution

The fourth proportional to 842.74, 1,162.96 and 469.74 is: 648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.74 : 1,162.96 = 469.74 : x
  2. Step 2: Convert to fraction form
    842.74/1,162.96 = 469.74/x
  3. Step 3: Cross multiply
    842.74x = 1,162.96 × 469.74
  4. Step 4: Simplify right side
    842.74x = 546,288.83
  5. Step 5: Solve for x
    x = 546,288.83/842.74
  6. Step 6: Final answer
    x = 648.23

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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.