Home / 1,490.19-2,056.44-827.03

Finding the Fourth Proportional to 1,490.19, 2,056.44 and 827.03

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Solution

The fourth proportional to 1,490.19, 2,056.44 and 827.03 is: 1,141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.19 : 2,056.44 = 827.03 : x
  2. Step 2: Convert to fraction form
    1,490.19/2,056.44 = 827.03/x
  3. Step 3: Cross multiply
    1,490.19x = 2,056.44 × 827.03
  4. Step 4: Simplify right side
    1,490.19x = 1,700,737.57
  5. Step 5: Solve for x
    x = 1,700,737.57/1,490.19
  6. Step 6: Final answer
    x = 1,141.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.