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Finding the Fourth Proportional to 842.69, 1,162.85 and 469.66

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Solution

The fourth proportional to 842.69, 1,162.85 and 469.66 is: 648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.69 : 1,162.85 = 469.66 : x
  2. Step 2: Convert to fraction form
    842.69/1,162.85 = 469.66/x
  3. Step 3: Cross multiply
    842.69x = 1,162.85 × 469.66
  4. Step 4: Simplify right side
    842.69x = 546,142.40
  5. Step 5: Solve for x
    x = 546,142.40/842.69
  6. Step 6: Final answer
    x = 648.10

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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.