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Finding the Fourth Proportional to 842.56, 1,263.20 and 451.52

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Solution

The fourth proportional to 842.56, 1,263.20 and 451.52 is: 676.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.56 : 1,263.20 = 451.52 : x
  2. Step 2: Convert to fraction form
    842.56/1,263.20 = 451.52/x
  3. Step 3: Cross multiply
    842.56x = 1,263.20 × 451.52
  4. Step 4: Simplify right side
    842.56x = 570,360.06
  5. Step 5: Solve for x
    x = 570,360.06/842.56
  6. Step 6: Final answer
    x = 676.94

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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.