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Finding the Fourth Proportional to 1,496.34, 2,064.90 and 833.22

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Solution

The fourth proportional to 1,496.34, 2,064.90 and 833.22 is: 1,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.34 : 2,064.90 = 833.22 : x
  2. Step 2: Convert to fraction form
    1,496.34/2,064.90 = 833.22/x
  3. Step 3: Cross multiply
    1,496.34x = 2,064.90 × 833.22
  4. Step 4: Simplify right side
    1,496.34x = 1,720,515.98
  5. Step 5: Solve for x
    x = 1,720,515.98/1,496.34
  6. Step 6: Final answer
    x = 1,149.82

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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.