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Finding the Fourth Proportional to 1,183.96, 1,634.41 and 686.50

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Solution

The fourth proportional to 1,183.96, 1,634.41 and 686.50 is: 947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.96 : 1,634.41 = 686.50 : x
  2. Step 2: Convert to fraction form
    1,183.96/1,634.41 = 686.50/x
  3. Step 3: Cross multiply
    1,183.96x = 1,634.41 × 686.50
  4. Step 4: Simplify right side
    1,183.96x = 1,122,022.47
  5. Step 5: Solve for x
    x = 1,122,022.47/1,183.96
  6. Step 6: Final answer
    x = 947.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.