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Finding the Fourth Proportional to 1,016.75, 1,525.13 and 367.54

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Solution

The fourth proportional to 1,016.75, 1,525.13 and 367.54 is: 551.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.75 : 1,525.13 = 367.54 : x
  2. Step 2: Convert to fraction form
    1,016.75/1,525.13 = 367.54/x
  3. Step 3: Cross multiply
    1,016.75x = 1,525.13 × 367.54
  4. Step 4: Simplify right side
    1,016.75x = 560,542.01
  5. Step 5: Solve for x
    x = 560,542.01/1,016.75
  6. Step 6: Final answer
    x = 551.31

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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.