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Finding the Fourth Proportional to 1,013.10, 1,520.66 and 527.23

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Solution

The fourth proportional to 1,013.10, 1,520.66 and 527.23 is: 791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.10 : 1,520.66 = 527.23 : x
  2. Step 2: Convert to fraction form
    1,013.10/1,520.66 = 527.23/x
  3. Step 3: Cross multiply
    1,013.10x = 1,520.66 × 527.23
  4. Step 4: Simplify right side
    1,013.10x = 801,737.57
  5. Step 5: Solve for x
    x = 801,737.57/1,013.10
  6. Step 6: Final answer
    x = 791.37

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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.