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Finding the Fourth Proportional to 1,183.57, 1,775.82 and 635.60

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Solution

The fourth proportional to 1,183.57, 1,775.82 and 635.60 is: 953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.57 : 1,775.82 = 635.60 : x
  2. Step 2: Convert to fraction form
    1,183.57/1,775.82 = 635.60/x
  3. Step 3: Cross multiply
    1,183.57x = 1,775.82 × 635.60
  4. Step 4: Simplify right side
    1,183.57x = 1,128,711.19
  5. Step 5: Solve for x
    x = 1,128,711.19/1,183.57
  6. Step 6: Final answer
    x = 953.65

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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.