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Finding the Fourth Proportional to 744.12, 1,027.26 and 597.48

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Solution

The fourth proportional to 744.12, 1,027.26 and 597.48 is: 824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.12 : 1,027.26 = 597.48 : x
  2. Step 2: Convert to fraction form
    744.12/1,027.26 = 597.48/x
  3. Step 3: Cross multiply
    744.12x = 1,027.26 × 597.48
  4. Step 4: Simplify right side
    744.12x = 613,767.30
  5. Step 5: Solve for x
    x = 613,767.30/744.12
  6. Step 6: Final answer
    x = 824.82

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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.