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Finding the Fourth Proportional to 1,207.24, 1,665.97 and 683.24

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Solution

The fourth proportional to 1,207.24, 1,665.97 and 683.24 is: 942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.24 : 1,665.97 = 683.24 : x
  2. Step 2: Convert to fraction form
    1,207.24/1,665.97 = 683.24/x
  3. Step 3: Cross multiply
    1,207.24x = 1,665.97 × 683.24
  4. Step 4: Simplify right side
    1,207.24x = 1,138,247.30
  5. Step 5: Solve for x
    x = 1,138,247.30/1,207.24
  6. Step 6: Final answer
    x = 942.85

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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.