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Finding the Fourth Proportional to 698.41, 1,047.47 and 211.35

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Solution

The fourth proportional to 698.41, 1,047.47 and 211.35 is: 316.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.41 : 1,047.47 = 211.35 : x
  2. Step 2: Convert to fraction form
    698.41/1,047.47 = 211.35/x
  3. Step 3: Cross multiply
    698.41x = 1,047.47 × 211.35
  4. Step 4: Simplify right side
    698.41x = 221,381.73
  5. Step 5: Solve for x
    x = 221,381.73/698.41
  6. Step 6: Final answer
    x = 316.98

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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.