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Finding the Fourth Proportional to 698.65, 1,048.19 and 211.75

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Solution

The fourth proportional to 698.65, 1,048.19 and 211.75 is: 317.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.65 : 1,048.19 = 211.75 : x
  2. Step 2: Convert to fraction form
    698.65/1,048.19 = 211.75/x
  3. Step 3: Cross multiply
    698.65x = 1,048.19 × 211.75
  4. Step 4: Simplify right side
    698.65x = 221,950.55
  5. Step 5: Solve for x
    x = 221,950.55/698.65
  6. Step 6: Final answer
    x = 317.69

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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.