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Finding the Fourth Proportional to 1,393.80, 1,922.88 and 834.29

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Solution

The fourth proportional to 1,393.80, 1,922.88 and 834.29 is: 1,150.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.80 : 1,922.88 = 834.29 : x
  2. Step 2: Convert to fraction form
    1,393.80/1,922.88 = 834.29/x
  3. Step 3: Cross multiply
    1,393.80x = 1,922.88 × 834.29
  4. Step 4: Simplify right side
    1,393.80x = 1,604,239.56
  5. Step 5: Solve for x
    x = 1,604,239.56/1,393.80
  6. Step 6: Final answer
    x = 1,150.98

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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.