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Finding the Fourth Proportional to 842.08, 1,262.26 and 456.52

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Solution

The fourth proportional to 842.08, 1,262.26 and 456.52 is: 684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.08 : 1,262.26 = 456.52 : x
  2. Step 2: Convert to fraction form
    842.08/1,262.26 = 456.52/x
  3. Step 3: Cross multiply
    842.08x = 1,262.26 × 456.52
  4. Step 4: Simplify right side
    842.08x = 576,246.94
  5. Step 5: Solve for x
    x = 576,246.94/842.08
  6. Step 6: Final answer
    x = 684.31

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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.