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Finding the Fourth Proportional to 1,223.10, 1,687.85 and 699.23

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Solution

The fourth proportional to 1,223.10, 1,687.85 and 699.23 is: 964.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.10 : 1,687.85 = 699.23 : x
  2. Step 2: Convert to fraction form
    1,223.10/1,687.85 = 699.23/x
  3. Step 3: Cross multiply
    1,223.10x = 1,687.85 × 699.23
  4. Step 4: Simplify right side
    1,223.10x = 1,180,198.70
  5. Step 5: Solve for x
    x = 1,180,198.70/1,223.10
  6. Step 6: Final answer
    x = 964.92

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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.