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Finding the Fourth Proportional to 698.50, 1,047.86 and 211.54

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Solution

The fourth proportional to 698.50, 1,047.86 and 211.54 is: 317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.50 : 1,047.86 = 211.54 : x
  2. Step 2: Convert to fraction form
    698.50/1,047.86 = 211.54/x
  3. Step 3: Cross multiply
    698.50x = 1,047.86 × 211.54
  4. Step 4: Simplify right side
    698.50x = 221,664.30
  5. Step 5: Solve for x
    x = 221,664.30/698.50
  6. Step 6: Final answer
    x = 317.34

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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.