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Finding the Fourth Proportional to 699.36, 1,048.94 and 212.42

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Solution

The fourth proportional to 699.36, 1,048.94 and 212.42 is: 318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.36 : 1,048.94 = 212.42 : x
  2. Step 2: Convert to fraction form
    699.36/1,048.94 = 212.42/x
  3. Step 3: Cross multiply
    699.36x = 1,048.94 × 212.42
  4. Step 4: Simplify right side
    699.36x = 222,809.53
  5. Step 5: Solve for x
    x = 222,809.53/699.36
  6. Step 6: Final answer
    x = 318.59

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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.