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Finding the Fourth Proportional to 1,280.44, 1,919.22 and 595

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Solution

The fourth proportional to 1,280.44, 1,919.22 and 595 is: 891.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.44 : 1,919.22 = 595 : x
  2. Step 2: Convert to fraction form
    1,280.44/1,919.22 = 595/x
  3. Step 3: Cross multiply
    1,280.44x = 1,919.22 × 595
  4. Step 4: Simplify right side
    1,280.44x = 1,141,935.90
  5. Step 5: Solve for x
    x = 1,141,935.90/1,280.44
  6. Step 6: Final answer
    x = 891.83

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Why These Related Problems?

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