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Finding the Fourth Proportional to 1,396.82, 2,095.22 and 356.82

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Solution

The fourth proportional to 1,396.82, 2,095.22 and 356.82 is: 535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.82 : 2,095.22 = 356.82 : x
  2. Step 2: Convert to fraction form
    1,396.82/2,095.22 = 356.82/x
  3. Step 3: Cross multiply
    1,396.82x = 2,095.22 × 356.82
  4. Step 4: Simplify right side
    1,396.82x = 747,612.69
  5. Step 5: Solve for x
    x = 747,612.69/1,396.82
  6. Step 6: Final answer
    x = 535.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.