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Finding the Fourth Proportional to 1,183.46, 1,775.60 and 403.70

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Solution

The fourth proportional to 1,183.46, 1,775.60 and 403.70 is: 605.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.46 : 1,775.60 = 403.70 : x
  2. Step 2: Convert to fraction form
    1,183.46/1,775.60 = 403.70/x
  3. Step 3: Cross multiply
    1,183.46x = 1,775.60 × 403.70
  4. Step 4: Simplify right side
    1,183.46x = 716,809.72
  5. Step 5: Solve for x
    x = 716,809.72/1,183.46
  6. Step 6: Final answer
    x = 605.69

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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.