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Finding the Fourth Proportional to 744.23, 1,027.47 and 464.82

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Solution

The fourth proportional to 744.23, 1,027.47 and 464.82 is: 641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.23 : 1,027.47 = 464.82 : x
  2. Step 2: Convert to fraction form
    744.23/1,027.47 = 464.82/x
  3. Step 3: Cross multiply
    744.23x = 1,027.47 × 464.82
  4. Step 4: Simplify right side
    744.23x = 477,588.61
  5. Step 5: Solve for x
    x = 477,588.61/744.23
  6. Step 6: Final answer
    x = 641.73

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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.