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Finding the Fourth Proportional to 982.82, 1,472.40 and 494.69

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Solution

The fourth proportional to 982.82, 1,472.40 and 494.69 is: 741.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.82 : 1,472.40 = 494.69 : x
  2. Step 2: Convert to fraction form
    982.82/1,472.40 = 494.69/x
  3. Step 3: Cross multiply
    982.82x = 1,472.40 × 494.69
  4. Step 4: Simplify right side
    982.82x = 728,374.19
  5. Step 5: Solve for x
    x = 728,374.19/982.82
  6. Step 6: Final answer
    x = 741.11

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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.