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Finding the Fourth Proportional to 982.80, 1,472.85 and 616.68

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Solution

The fourth proportional to 982.80, 1,472.85 and 616.68 is: 924.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.80 : 1,472.85 = 616.68 : x
  2. Step 2: Convert to fraction form
    982.80/1,472.85 = 616.68/x
  3. Step 3: Cross multiply
    982.80x = 1,472.85 × 616.68
  4. Step 4: Simplify right side
    982.80x = 908,277.14
  5. Step 5: Solve for x
    x = 908,277.14/982.80
  6. Step 6: Final answer
    x = 924.17

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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.