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Finding the Fourth Proportional to 1,183.38, 1,775.08 and 403.46

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Solution

The fourth proportional to 1,183.38, 1,775.08 and 403.46 is: 605.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.38 : 1,775.08 = 403.46 : x
  2. Step 2: Convert to fraction form
    1,183.38/1,775.08 = 403.46/x
  3. Step 3: Cross multiply
    1,183.38x = 1,775.08 × 403.46
  4. Step 4: Simplify right side
    1,183.38x = 716,173.78
  5. Step 5: Solve for x
    x = 716,173.78/1,183.38
  6. Step 6: Final answer
    x = 605.19

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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.