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Finding the Fourth Proportional to 1,350.85, 2,026.28 and 376.96

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Solution

The fourth proportional to 1,350.85, 2,026.28 and 376.96 is: 565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.85 : 2,026.28 = 376.96 : x
  2. Step 2: Convert to fraction form
    1,350.85/2,026.28 = 376.96/x
  3. Step 3: Cross multiply
    1,350.85x = 2,026.28 × 376.96
  4. Step 4: Simplify right side
    1,350.85x = 763,826.18
  5. Step 5: Solve for x
    x = 763,826.18/1,350.85
  6. Step 6: Final answer
    x = 565.44

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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.