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Finding the Fourth Proportional to 1,183.14, 1,633.14 and 686.01

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Solution

The fourth proportional to 1,183.14, 1,633.14 and 686.01 is: 946.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.14 : 1,633.14 = 686.01 : x
  2. Step 2: Convert to fraction form
    1,183.14/1,633.14 = 686.01/x
  3. Step 3: Cross multiply
    1,183.14x = 1,633.14 × 686.01
  4. Step 4: Simplify right side
    1,183.14x = 1,120,350.37
  5. Step 5: Solve for x
    x = 1,120,350.37/1,183.14
  6. Step 6: Final answer
    x = 946.93

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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.