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Finding the Fourth Proportional to 1,012.62, 1,517.42 and 525.02

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Solution

The fourth proportional to 1,012.62, 1,517.42 and 525.02 is: 786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.62 : 1,517.42 = 525.02 : x
  2. Step 2: Convert to fraction form
    1,012.62/1,517.42 = 525.02/x
  3. Step 3: Cross multiply
    1,012.62x = 1,517.42 × 525.02
  4. Step 4: Simplify right side
    1,012.62x = 796,675.85
  5. Step 5: Solve for x
    x = 796,675.85/1,012.62
  6. Step 6: Final answer
    x = 786.75

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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.