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Finding the Fourth Proportional to 1,013.31, 1,520.23 and 320

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Solution

The fourth proportional to 1,013.31, 1,520.23 and 320 is: 480.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.31 : 1,520.23 = 320 : x
  2. Step 2: Convert to fraction form
    1,013.31/1,520.23 = 320/x
  3. Step 3: Cross multiply
    1,013.31x = 1,520.23 × 320
  4. Step 4: Simplify right side
    1,013.31x = 486,473.60
  5. Step 5: Solve for x
    x = 486,473.60/1,013.31
  6. Step 6: Final answer
    x = 480.08

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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.