Home / 1,027.98-1,541.96-411.83

Finding the Fourth Proportional to 1,027.98, 1,541.96 and 411.83

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Solution

The fourth proportional to 1,027.98, 1,541.96 and 411.83 is: 617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.98 : 1,541.96 = 411.83 : x
  2. Step 2: Convert to fraction form
    1,027.98/1,541.96 = 411.83/x
  3. Step 3: Cross multiply
    1,027.98x = 1,541.96 × 411.83
  4. Step 4: Simplify right side
    1,027.98x = 635,025.39
  5. Step 5: Solve for x
    x = 635,025.39/1,027.98
  6. Step 6: Final answer
    x = 617.74

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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.