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Finding the Fourth Proportional to 744.41, 1,027.14 and 449.70

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Solution

The fourth proportional to 744.41, 1,027.14 and 449.70 is: 620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.41 : 1,027.14 = 449.70 : x
  2. Step 2: Convert to fraction form
    744.41/1,027.14 = 449.70/x
  3. Step 3: Cross multiply
    744.41x = 1,027.14 × 449.70
  4. Step 4: Simplify right side
    744.41x = 461,904.86
  5. Step 5: Solve for x
    x = 461,904.86/744.41
  6. Step 6: Final answer
    x = 620.50

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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.