Home / 1,025.91-1,531.41-949.77

Finding the Fourth Proportional to 1,025.91, 1,531.41 and 949.77

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Solution

The fourth proportional to 1,025.91, 1,531.41 and 949.77 is: 1,417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.91 : 1,531.41 = 949.77 : x
  2. Step 2: Convert to fraction form
    1,025.91/1,531.41 = 949.77/x
  3. Step 3: Cross multiply
    1,025.91x = 1,531.41 × 949.77
  4. Step 4: Simplify right side
    1,025.91x = 1,454,487.28
  5. Step 5: Solve for x
    x = 1,454,487.28/1,025.91
  6. Step 6: Final answer
    x = 1,417.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.