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Finding the Fourth Proportional to 788.13, 1,182.31 and 240.23

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Solution

The fourth proportional to 788.13, 1,182.31 and 240.23 is: 360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.13 : 1,182.31 = 240.23 : x
  2. Step 2: Convert to fraction form
    788.13/1,182.31 = 240.23/x
  3. Step 3: Cross multiply
    788.13x = 1,182.31 × 240.23
  4. Step 4: Simplify right side
    788.13x = 284,028.69
  5. Step 5: Solve for x
    x = 284,028.69/788.13
  6. Step 6: Final answer
    x = 360.38

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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.