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Finding the Fourth Proportional to 982.86, 1,470.24 and 873.24

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Solution

The fourth proportional to 982.86, 1,470.24 and 873.24 is: 1,306.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.86 : 1,470.24 = 873.24 : x
  2. Step 2: Convert to fraction form
    982.86/1,470.24 = 873.24/x
  3. Step 3: Cross multiply
    982.86x = 1,470.24 × 873.24
  4. Step 4: Simplify right side
    982.86x = 1,283,872.38
  5. Step 5: Solve for x
    x = 1,283,872.38/982.86
  6. Step 6: Final answer
    x = 1,306.26

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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.