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Finding the Fourth Proportional to 842.24, 1,261.92 and 457.76

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Solution

The fourth proportional to 842.24, 1,261.92 and 457.76 is: 685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.24 : 1,261.92 = 457.76 : x
  2. Step 2: Convert to fraction form
    842.24/1,261.92 = 457.76/x
  3. Step 3: Cross multiply
    842.24x = 1,261.92 × 457.76
  4. Step 4: Simplify right side
    842.24x = 577,656.50
  5. Step 5: Solve for x
    x = 577,656.50/842.24
  6. Step 6: Final answer
    x = 685.86

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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.