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Finding the Fourth Proportional to 1,183.32, 1,775.70 and 452.96

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Solution

The fourth proportional to 1,183.32, 1,775.70 and 452.96 is: 679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.32 : 1,775.70 = 452.96 : x
  2. Step 2: Convert to fraction form
    1,183.32/1,775.70 = 452.96/x
  3. Step 3: Cross multiply
    1,183.32x = 1,775.70 × 452.96
  4. Step 4: Simplify right side
    1,183.32x = 804,321.07
  5. Step 5: Solve for x
    x = 804,321.07/1,183.32
  6. Step 6: Final answer
    x = 679.72

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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.