Home / 1,027.78-1,541.76-451.06

Finding the Fourth Proportional to 1,027.78, 1,541.76 and 451.06

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Solution

The fourth proportional to 1,027.78, 1,541.76 and 451.06 is: 676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.78 : 1,541.76 = 451.06 : x
  2. Step 2: Convert to fraction form
    1,027.78/1,541.76 = 451.06/x
  3. Step 3: Cross multiply
    1,027.78x = 1,541.76 × 451.06
  4. Step 4: Simplify right side
    1,027.78x = 695,426.27
  5. Step 5: Solve for x
    x = 695,426.27/1,027.78
  6. Step 6: Final answer
    x = 676.63

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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.