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Finding the Fourth Proportional to 788.30, 1,182.57 and 325.82

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Solution

The fourth proportional to 788.30, 1,182.57 and 325.82 is: 488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.30 : 1,182.57 = 325.82 : x
  2. Step 2: Convert to fraction form
    788.30/1,182.57 = 325.82/x
  3. Step 3: Cross multiply
    788.30x = 1,182.57 × 325.82
  4. Step 4: Simplify right side
    788.30x = 385,299.04
  5. Step 5: Solve for x
    x = 385,299.04/788.30
  6. Step 6: Final answer
    x = 488.78

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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.