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Finding the Fourth Proportional to 1,014.26, 1,521.39 and 320.99

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Solution

The fourth proportional to 1,014.26, 1,521.39 and 320.99 is: 481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.26 : 1,521.39 = 320.99 : x
  2. Step 2: Convert to fraction form
    1,014.26/1,521.39 = 320.99/x
  3. Step 3: Cross multiply
    1,014.26x = 1,521.39 × 320.99
  4. Step 4: Simplify right side
    1,014.26x = 488,350.98
  5. Step 5: Solve for x
    x = 488,350.98/1,014.26
  6. Step 6: Final answer
    x = 481.49

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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.