Home / 1,014.28-1,520.44-466.14

Finding the Fourth Proportional to 1,014.28, 1,520.44 and 466.14

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Solution

The fourth proportional to 1,014.28, 1,520.44 and 466.14 is: 698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.28 : 1,520.44 = 466.14 : x
  2. Step 2: Convert to fraction form
    1,014.28/1,520.44 = 466.14/x
  3. Step 3: Cross multiply
    1,014.28x = 1,520.44 × 466.14
  4. Step 4: Simplify right side
    1,014.28x = 708,737.90
  5. Step 5: Solve for x
    x = 708,737.90/1,014.28
  6. Step 6: Final answer
    x = 698.76

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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.