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Finding the Fourth Proportional to 744.02, 1,115.07 and 640.61

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Solution

The fourth proportional to 744.02, 1,115.07 and 640.61 is: 960.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.02 : 1,115.07 = 640.61 : x
  2. Step 2: Convert to fraction form
    744.02/1,115.07 = 640.61/x
  3. Step 3: Cross multiply
    744.02x = 1,115.07 × 640.61
  4. Step 4: Simplify right side
    744.02x = 714,327.78
  5. Step 5: Solve for x
    x = 714,327.78/744.02
  6. Step 6: Final answer
    x = 960.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.