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Finding the Fourth Proportional to 1,496.32, 2,064.85 and 833.23

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Solution

The fourth proportional to 1,496.32, 2,064.85 and 833.23 is: 1,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.32 : 2,064.85 = 833.23 : x
  2. Step 2: Convert to fraction form
    1,496.32/2,064.85 = 833.23/x
  3. Step 3: Cross multiply
    1,496.32x = 2,064.85 × 833.23
  4. Step 4: Simplify right side
    1,496.32x = 1,720,487.72
  5. Step 5: Solve for x
    x = 1,720,487.72/1,496.32
  6. Step 6: Final answer
    x = 1,149.81

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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.