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Finding the Fourth Proportional to 683.74, 1,027 and 410.36

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Solution

The fourth proportional to 683.74, 1,027 and 410.36 is: 616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.74 : 1,027 = 410.36 : x
  2. Step 2: Convert to fraction form
    683.74/1,027 = 410.36/x
  3. Step 3: Cross multiply
    683.74x = 1,027 × 410.36
  4. Step 4: Simplify right side
    683.74x = 421,439.72
  5. Step 5: Solve for x
    x = 421,439.72/683.74
  6. Step 6: Final answer
    x = 616.37

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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.