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Finding the Fourth Proportional to 982.86, 1,472.86 and 495.24

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Solution

The fourth proportional to 982.86, 1,472.86 and 495.24 is: 742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.86 : 1,472.86 = 495.24 : x
  2. Step 2: Convert to fraction form
    982.86/1,472.86 = 495.24/x
  3. Step 3: Cross multiply
    982.86x = 1,472.86 × 495.24
  4. Step 4: Simplify right side
    982.86x = 729,419.19
  5. Step 5: Solve for x
    x = 729,419.19/982.86
  6. Step 6: Final answer
    x = 742.14

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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.