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Finding the Fourth Proportional to 1,000.09, 1,500.42 and 513.48

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Solution

The fourth proportional to 1,000.09, 1,500.42 and 513.48 is: 770.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.09 : 1,500.42 = 513.48 : x
  2. Step 2: Convert to fraction form
    1,000.09/1,500.42 = 513.48/x
  3. Step 3: Cross multiply
    1,000.09x = 1,500.42 × 513.48
  4. Step 4: Simplify right side
    1,000.09x = 770,435.66
  5. Step 5: Solve for x
    x = 770,435.66/1,000.09
  6. Step 6: Final answer
    x = 770.37

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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.