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Finding the Fourth Proportional to 698.46, 1,047.76 and 211.42

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Solution

The fourth proportional to 698.46, 1,047.76 and 211.42 is: 317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.46 : 1,047.76 = 211.42 : x
  2. Step 2: Convert to fraction form
    698.46/1,047.76 = 211.42/x
  3. Step 3: Cross multiply
    698.46x = 1,047.76 × 211.42
  4. Step 4: Simplify right side
    698.46x = 221,517.42
  5. Step 5: Solve for x
    x = 221,517.42/698.46
  6. Step 6: Final answer
    x = 317.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.