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Finding the Fourth Proportional to 698.28, 1,047.18 and 211.20

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Solution

The fourth proportional to 698.28, 1,047.18 and 211.20 is: 316.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.28 : 1,047.18 = 211.20 : x
  2. Step 2: Convert to fraction form
    698.28/1,047.18 = 211.20/x
  3. Step 3: Cross multiply
    698.28x = 1,047.18 × 211.20
  4. Step 4: Simplify right side
    698.28x = 221,164.42
  5. Step 5: Solve for x
    x = 221,164.42/698.28
  6. Step 6: Final answer
    x = 316.73

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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.