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Finding the Fourth Proportional to 1,027.95, 1,541.87 and 411.49

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Solution

The fourth proportional to 1,027.95, 1,541.87 and 411.49 is: 617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.95 : 1,541.87 = 411.49 : x
  2. Step 2: Convert to fraction form
    1,027.95/1,541.87 = 411.49/x
  3. Step 3: Cross multiply
    1,027.95x = 1,541.87 × 411.49
  4. Step 4: Simplify right side
    1,027.95x = 634,464.09
  5. Step 5: Solve for x
    x = 634,464.09/1,027.95
  6. Step 6: Final answer
    x = 617.21

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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.