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Finding the Fourth Proportional to 744.22, 1,027.23 and 433.78

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Solution

The fourth proportional to 744.22, 1,027.23 and 433.78 is: 598.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.22 : 1,027.23 = 433.78 : x
  2. Step 2: Convert to fraction form
    744.22/1,027.23 = 433.78/x
  3. Step 3: Cross multiply
    744.22x = 1,027.23 × 433.78
  4. Step 4: Simplify right side
    744.22x = 445,591.83
  5. Step 5: Solve for x
    x = 445,591.83/744.22
  6. Step 6: Final answer
    x = 598.74

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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.