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Finding the Fourth Proportional to 699.71, 1,049.49 and 213.10

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Solution

The fourth proportional to 699.71, 1,049.49 and 213.10 is: 319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.71 : 1,049.49 = 213.10 : x
  2. Step 2: Convert to fraction form
    699.71/1,049.49 = 213.10/x
  3. Step 3: Cross multiply
    699.71x = 1,049.49 × 213.10
  4. Step 4: Simplify right side
    699.71x = 223,643.70
  5. Step 5: Solve for x
    x = 223,643.70/699.71
  6. Step 6: Final answer
    x = 319.63

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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.