Home / 1,028.22-1,541.99-411.77

Finding the Fourth Proportional to 1,028.22, 1,541.99 and 411.77

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Solution

The fourth proportional to 1,028.22, 1,541.99 and 411.77 is: 617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.22 : 1,541.99 = 411.77 : x
  2. Step 2: Convert to fraction form
    1,028.22/1,541.99 = 411.77/x
  3. Step 3: Cross multiply
    1,028.22x = 1,541.99 × 411.77
  4. Step 4: Simplify right side
    1,028.22x = 634,935.45
  5. Step 5: Solve for x
    x = 634,935.45/1,028.22
  6. Step 6: Final answer
    x = 617.51

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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.