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Finding the Fourth Proportional to 1,013.24, 1,520.37 and 519.75

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Solution

The fourth proportional to 1,013.24, 1,520.37 and 519.75 is: 779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.24 : 1,520.37 = 519.75 : x
  2. Step 2: Convert to fraction form
    1,013.24/1,520.37 = 519.75/x
  3. Step 3: Cross multiply
    1,013.24x = 1,520.37 × 519.75
  4. Step 4: Simplify right side
    1,013.24x = 790,212.31
  5. Step 5: Solve for x
    x = 790,212.31/1,013.24
  6. Step 6: Final answer
    x = 779.88

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1.5x scale

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.