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Finding the Fourth Proportional to 744.68, 1,027.26 and 434.12

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Solution

The fourth proportional to 744.68, 1,027.26 and 434.12 is: 598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.68 : 1,027.26 = 434.12 : x
  2. Step 2: Convert to fraction form
    744.68/1,027.26 = 434.12/x
  3. Step 3: Cross multiply
    744.68x = 1,027.26 × 434.12
  4. Step 4: Simplify right side
    744.68x = 445,954.11
  5. Step 5: Solve for x
    x = 445,954.11/744.68
  6. Step 6: Final answer
    x = 598.85

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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.