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Finding the Fourth Proportional to 1,183.64, 1,774.31 and 663.89

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Solution

The fourth proportional to 1,183.64, 1,774.31 and 663.89 is: 995.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.64 : 1,774.31 = 663.89 : x
  2. Step 2: Convert to fraction form
    1,183.64/1,774.31 = 663.89/x
  3. Step 3: Cross multiply
    1,183.64x = 1,774.31 × 663.89
  4. Step 4: Simplify right side
    1,183.64x = 1,177,934.47
  5. Step 5: Solve for x
    x = 1,177,934.47/1,183.64
  6. Step 6: Final answer
    x = 995.18

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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.