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Finding the Fourth Proportional to 698.71, 1,048.14 and 211.75

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Solution

The fourth proportional to 698.71, 1,048.14 and 211.75 is: 317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.71 : 1,048.14 = 211.75 : x
  2. Step 2: Convert to fraction form
    698.71/1,048.14 = 211.75/x
  3. Step 3: Cross multiply
    698.71x = 1,048.14 × 211.75
  4. Step 4: Simplify right side
    698.71x = 221,943.65
  5. Step 5: Solve for x
    x = 221,943.65/698.71
  6. Step 6: Final answer
    x = 317.65

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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.