Home / 1,027.80-1,541.64-411.12

Finding the Fourth Proportional to 1,027.80, 1,541.64 and 411.12

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Solution

The fourth proportional to 1,027.80, 1,541.64 and 411.12 is: 616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.80 : 1,541.64 = 411.12 : x
  2. Step 2: Convert to fraction form
    1,027.80/1,541.64 = 411.12/x
  3. Step 3: Cross multiply
    1,027.80x = 1,541.64 × 411.12
  4. Step 4: Simplify right side
    1,027.80x = 633,799.04
  5. Step 5: Solve for x
    x = 633,799.04/1,027.80
  6. Step 6: Final answer
    x = 616.66

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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.