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Finding the Fourth Proportional to 788.60, 1,182.83 and 240.78

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Solution

The fourth proportional to 788.60, 1,182.83 and 240.78 is: 361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.60 : 1,182.83 = 240.78 : x
  2. Step 2: Convert to fraction form
    788.60/1,182.83 = 240.78/x
  3. Step 3: Cross multiply
    788.60x = 1,182.83 × 240.78
  4. Step 4: Simplify right side
    788.60x = 284,805.04
  5. Step 5: Solve for x
    x = 284,805.04/788.60
  6. Step 6: Final answer
    x = 361.15

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Why These Related Problems?

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