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Finding the Fourth Proportional to 3,306.56, 4,959.72 and 998

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Solution

The fourth proportional to 3,306.56, 4,959.72 and 998 is: 1,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.56 : 4,959.72 = 998 : x
  2. Step 2: Convert to fraction form
    3,306.56/4,959.72 = 998/x
  3. Step 3: Cross multiply
    3,306.56x = 4,959.72 × 998
  4. Step 4: Simplify right side
    3,306.56x = 4,949,800.56
  5. Step 5: Solve for x
    x = 4,949,800.56/3,306.56
  6. Step 6: Final answer
    x = 1,496.96

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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.