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Finding the Fourth Proportional to 842.26, 1,162.20 and 469.22

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Solution

The fourth proportional to 842.26, 1,162.20 and 469.22 is: 647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.26 : 1,162.20 = 469.22 : x
  2. Step 2: Convert to fraction form
    842.26/1,162.20 = 469.22/x
  3. Step 3: Cross multiply
    842.26x = 1,162.20 × 469.22
  4. Step 4: Simplify right side
    842.26x = 545,327.48
  5. Step 5: Solve for x
    x = 545,327.48/842.26
  6. Step 6: Final answer
    x = 647.46

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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.