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Finding the Fourth Proportional to 788.72, 1,183.14 and 295.16

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Solution

The fourth proportional to 788.72, 1,183.14 and 295.16 is: 442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.72 : 1,183.14 = 295.16 : x
  2. Step 2: Convert to fraction form
    788.72/1,183.14 = 295.16/x
  3. Step 3: Cross multiply
    788.72x = 1,183.14 × 295.16
  4. Step 4: Simplify right side
    788.72x = 349,209.69
  5. Step 5: Solve for x
    x = 349,209.69/788.72
  6. Step 6: Final answer
    x = 442.76

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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.