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Finding the Fourth Proportional to 786.03, 1,180.20 and 440.04

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Solution

The fourth proportional to 786.03, 1,180.20 and 440.04 is: 660.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.03 : 1,180.20 = 440.04 : x
  2. Step 2: Convert to fraction form
    786.03/1,180.20 = 440.04/x
  3. Step 3: Cross multiply
    786.03x = 1,180.20 × 440.04
  4. Step 4: Simplify right side
    786.03x = 519,335.21
  5. Step 5: Solve for x
    x = 519,335.21/786.03
  6. Step 6: Final answer
    x = 660.71

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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.