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Finding the Fourth Proportional to 982.96, 1,473.82 and 462.65

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Solution

The fourth proportional to 982.96, 1,473.82 and 462.65 is: 693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.96 : 1,473.82 = 462.65 : x
  2. Step 2: Convert to fraction form
    982.96/1,473.82 = 462.65/x
  3. Step 3: Cross multiply
    982.96x = 1,473.82 × 462.65
  4. Step 4: Simplify right side
    982.96x = 681,854.30
  5. Step 5: Solve for x
    x = 681,854.30/982.96
  6. Step 6: Final answer
    x = 693.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.