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Finding the Fourth Proportional to 842.43, 1,162.57 and 469.41

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Solution

The fourth proportional to 842.43, 1,162.57 and 469.41 is: 647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.43 : 1,162.57 = 469.41 : x
  2. Step 2: Convert to fraction form
    842.43/1,162.57 = 469.41/x
  3. Step 3: Cross multiply
    842.43x = 1,162.57 × 469.41
  4. Step 4: Simplify right side
    842.43x = 545,721.98
  5. Step 5: Solve for x
    x = 545,721.98/842.43
  6. Step 6: Final answer
    x = 647.80

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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.