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Finding the Fourth Proportional to 1,496.37, 2,064.99 and 833.29

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Solution

The fourth proportional to 1,496.37, 2,064.99 and 833.29 is: 1,149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.37 : 2,064.99 = 833.29 : x
  2. Step 2: Convert to fraction form
    1,496.37/2,064.99 = 833.29/x
  3. Step 3: Cross multiply
    1,496.37x = 2,064.99 × 833.29
  4. Step 4: Simplify right side
    1,496.37x = 1,720,733.48
  5. Step 5: Solve for x
    x = 1,720,733.48/1,496.37
  6. Step 6: Final answer
    x = 1,149.94

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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.