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Finding the Fourth Proportional to 982.80, 1,356.30 and 540.78

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Solution

The fourth proportional to 982.80, 1,356.30 and 540.78 is: 746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.80 : 1,356.30 = 540.78 : x
  2. Step 2: Convert to fraction form
    982.80/1,356.30 = 540.78/x
  3. Step 3: Cross multiply
    982.80x = 1,356.30 × 540.78
  4. Step 4: Simplify right side
    982.80x = 733,459.91
  5. Step 5: Solve for x
    x = 733,459.91/982.80
  6. Step 6: Final answer
    x = 746.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.