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Finding the Fourth Proportional to 1,496.27, 2,064.83 and 833.09

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Solution

The fourth proportional to 1,496.27, 2,064.83 and 833.09 is: 1,149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.27 : 2,064.83 = 833.09 : x
  2. Step 2: Convert to fraction form
    1,496.27/2,064.83 = 833.09/x
  3. Step 3: Cross multiply
    1,496.27x = 2,064.83 × 833.09
  4. Step 4: Simplify right side
    1,496.27x = 1,720,174.74
  5. Step 5: Solve for x
    x = 1,720,174.74/1,496.27
  6. Step 6: Final answer
    x = 1,149.64

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