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Finding the Fourth Proportional to 1,013.39, 1,520.30 and 320.26

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Solution

The fourth proportional to 1,013.39, 1,520.30 and 320.26 is: 480.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.39 : 1,520.30 = 320.26 : x
  2. Step 2: Convert to fraction form
    1,013.39/1,520.30 = 320.26/x
  3. Step 3: Cross multiply
    1,013.39x = 1,520.30 × 320.26
  4. Step 4: Simplify right side
    1,013.39x = 486,891.28
  5. Step 5: Solve for x
    x = 486,891.28/1,013.39
  6. Step 6: Final answer
    x = 480.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.