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Finding the Fourth Proportional to 788.46, 1,180.80 and 672.24

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Solution

The fourth proportional to 788.46, 1,180.80 and 672.24 is: 1,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.46 : 1,180.80 = 672.24 : x
  2. Step 2: Convert to fraction form
    788.46/1,180.80 = 672.24/x
  3. Step 3: Cross multiply
    788.46x = 1,180.80 × 672.24
  4. Step 4: Simplify right side
    788.46x = 793,780.99
  5. Step 5: Solve for x
    x = 793,780.99/788.46
  6. Step 6: Final answer
    x = 1,006.75

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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.