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Finding the Fourth Proportional to 699.29, 967.11 and 614.24

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Solution

The fourth proportional to 699.29, 967.11 and 614.24 is: 849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.29 : 967.11 = 614.24 : x
  2. Step 2: Convert to fraction form
    699.29/967.11 = 614.24/x
  3. Step 3: Cross multiply
    699.29x = 967.11 × 614.24
  4. Step 4: Simplify right side
    699.29x = 594,037.65
  5. Step 5: Solve for x
    x = 594,037.65/699.29
  6. Step 6: Final answer
    x = 849.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.