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Finding the Fourth Proportional to 788.76, 1,183.68 and 378.18

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Solution

The fourth proportional to 788.76, 1,183.68 and 378.18 is: 567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.76 : 1,183.68 = 378.18 : x
  2. Step 2: Convert to fraction form
    788.76/1,183.68 = 378.18/x
  3. Step 3: Cross multiply
    788.76x = 1,183.68 × 378.18
  4. Step 4: Simplify right side
    788.76x = 447,644.10
  5. Step 5: Solve for x
    x = 447,644.10/788.76
  6. Step 6: Final answer
    x = 567.53

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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.