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Finding the Fourth Proportional to 744.50, 1,027.33 and 412.92

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Solution

The fourth proportional to 744.50, 1,027.33 and 412.92 is: 569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.50 : 1,027.33 = 412.92 : x
  2. Step 2: Convert to fraction form
    744.50/1,027.33 = 412.92/x
  3. Step 3: Cross multiply
    744.50x = 1,027.33 × 412.92
  4. Step 4: Simplify right side
    744.50x = 424,202.06
  5. Step 5: Solve for x
    x = 424,202.06/744.50
  6. Step 6: Final answer
    x = 569.78

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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.