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Finding the Fourth Proportional to 699.20, 1,048.52 and 212.08

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Solution

The fourth proportional to 699.20, 1,048.52 and 212.08 is: 318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.20 : 1,048.52 = 212.08 : x
  2. Step 2: Convert to fraction form
    699.20/1,048.52 = 212.08/x
  3. Step 3: Cross multiply
    699.20x = 1,048.52 × 212.08
  4. Step 4: Simplify right side
    699.20x = 222,370.12
  5. Step 5: Solve for x
    x = 222,370.12/699.20
  6. Step 6: Final answer
    x = 318.04

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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.