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Finding the Fourth Proportional to 788.57, 1,181.33 and 614.42

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Solution

The fourth proportional to 788.57, 1,181.33 and 614.42 is: 920.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.57 : 1,181.33 = 614.42 : x
  2. Step 2: Convert to fraction form
    788.57/1,181.33 = 614.42/x
  3. Step 3: Cross multiply
    788.57x = 1,181.33 × 614.42
  4. Step 4: Simplify right side
    788.57x = 725,823.80
  5. Step 5: Solve for x
    x = 725,823.80/788.57
  6. Step 6: Final answer
    x = 920.44

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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.