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Finding the Fourth Proportional to 842.24, 1,162.15 and 469.22

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Solution

The fourth proportional to 842.24, 1,162.15 and 469.22 is: 647.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.24 : 1,162.15 = 469.22 : x
  2. Step 2: Convert to fraction form
    842.24/1,162.15 = 469.22/x
  3. Step 3: Cross multiply
    842.24x = 1,162.15 × 469.22
  4. Step 4: Simplify right side
    842.24x = 545,297.04
  5. Step 5: Solve for x
    x = 545,297.04/842.24
  6. Step 6: Final answer
    x = 647.43

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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.