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Finding the Fourth Proportional to 842.28, 1,162.43 and 469.32

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Solution

The fourth proportional to 842.28, 1,162.43 and 469.32 is: 647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.28 : 1,162.43 = 469.32 : x
  2. Step 2: Convert to fraction form
    842.28/1,162.43 = 469.32/x
  3. Step 3: Cross multiply
    842.28x = 1,162.43 × 469.32
  4. Step 4: Simplify right side
    842.28x = 545,551.65
  5. Step 5: Solve for x
    x = 545,551.65/842.28
  6. Step 6: Final answer
    x = 647.71

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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.