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Finding the Fourth Proportional to 788.80, 1,182.48 and 378.13

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Solution

The fourth proportional to 788.80, 1,182.48 and 378.13 is: 566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.80 : 1,182.48 = 378.13 : x
  2. Step 2: Convert to fraction form
    788.80/1,182.48 = 378.13/x
  3. Step 3: Cross multiply
    788.80x = 1,182.48 × 378.13
  4. Step 4: Simplify right side
    788.80x = 447,131.16
  5. Step 5: Solve for x
    x = 447,131.16/788.80
  6. Step 6: Final answer
    x = 566.85

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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.