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Finding the Fourth Proportional to 1,350.85, 2,026.31 and 376.95

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Solution

The fourth proportional to 1,350.85, 2,026.31 and 376.95 is: 565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.85 : 2,026.31 = 376.95 : x
  2. Step 2: Convert to fraction form
    1,350.85/2,026.31 = 376.95/x
  3. Step 3: Cross multiply
    1,350.85x = 2,026.31 × 376.95
  4. Step 4: Simplify right side
    1,350.85x = 763,813.28
  5. Step 5: Solve for x
    x = 763,813.28/1,350.85
  6. Step 6: Final answer
    x = 565.43

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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.