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Finding the Fourth Proportional to 744.31, 1,027.17 and 412.69

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Solution

The fourth proportional to 744.31, 1,027.17 and 412.69 is: 569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.31 : 1,027.17 = 412.69 : x
  2. Step 2: Convert to fraction form
    744.31/1,027.17 = 412.69/x
  3. Step 3: Cross multiply
    744.31x = 1,027.17 × 412.69
  4. Step 4: Simplify right side
    744.31x = 423,902.79
  5. Step 5: Solve for x
    x = 423,902.79/744.31
  6. Step 6: Final answer
    x = 569.52

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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.