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Finding the Fourth Proportional to 1,183.66, 1,774.76 and 403.43

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Solution

The fourth proportional to 1,183.66, 1,774.76 and 403.43 is: 604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.66 : 1,774.76 = 403.43 : x
  2. Step 2: Convert to fraction form
    1,183.66/1,774.76 = 403.43/x
  3. Step 3: Cross multiply
    1,183.66x = 1,774.76 × 403.43
  4. Step 4: Simplify right side
    1,183.66x = 715,980.54
  5. Step 5: Solve for x
    x = 715,980.54/1,183.66
  6. Step 6: Final answer
    x = 604.89

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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.