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Finding the Fourth Proportional to 1,014.41, 1,520.86 and 320.70

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Solution

The fourth proportional to 1,014.41, 1,520.86 and 320.70 is: 480.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.41 : 1,520.86 = 320.70 : x
  2. Step 2: Convert to fraction form
    1,014.41/1,520.86 = 320.70/x
  3. Step 3: Cross multiply
    1,014.41x = 1,520.86 × 320.70
  4. Step 4: Simplify right side
    1,014.41x = 487,739.80
  5. Step 5: Solve for x
    x = 487,739.80/1,014.41
  6. Step 6: Final answer
    x = 480.81

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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.