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Finding the Fourth Proportional to 788.59, 1,182.78 and 240.83

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Solution

The fourth proportional to 788.59, 1,182.78 and 240.83 is: 361.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.59 : 1,182.78 = 240.83 : x
  2. Step 2: Convert to fraction form
    788.59/1,182.78 = 240.83/x
  3. Step 3: Cross multiply
    788.59x = 1,182.78 × 240.83
  4. Step 4: Simplify right side
    788.59x = 284,842.99
  5. Step 5: Solve for x
    x = 284,842.99/788.59
  6. Step 6: Final answer
    x = 361.21

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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.