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Finding the Fourth Proportional to 744.39, 1,027.31 and 412.92

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Solution

The fourth proportional to 744.39, 1,027.31 and 412.92 is: 569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.39 : 1,027.31 = 412.92 : x
  2. Step 2: Convert to fraction form
    744.39/1,027.31 = 412.92/x
  3. Step 3: Cross multiply
    744.39x = 1,027.31 × 412.92
  4. Step 4: Simplify right side
    744.39x = 424,195.31
  5. Step 5: Solve for x
    x = 424,195.31/744.39
  6. Step 6: Final answer
    x = 569.86

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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.