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Finding the Fourth Proportional to 1,393.58, 1,922.54 and 868.70

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Solution

The fourth proportional to 1,393.58, 1,922.54 and 868.70 is: 1,198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.58 : 1,922.54 = 868.70 : x
  2. Step 2: Convert to fraction form
    1,393.58/1,922.54 = 868.70/x
  3. Step 3: Cross multiply
    1,393.58x = 1,922.54 × 868.70
  4. Step 4: Simplify right side
    1,393.58x = 1,670,110.50
  5. Step 5: Solve for x
    x = 1,670,110.50/1,393.58
  6. Step 6: Final answer
    x = 1,198.43

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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.