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Finding the Fourth Proportional to 1,016.97, 1,525.86 and 367.76

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Solution

The fourth proportional to 1,016.97, 1,525.86 and 367.76 is: 551.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.97 : 1,525.86 = 367.76 : x
  2. Step 2: Convert to fraction form
    1,016.97/1,525.86 = 367.76/x
  3. Step 3: Cross multiply
    1,016.97x = 1,525.86 × 367.76
  4. Step 4: Simplify right side
    1,016.97x = 561,142.64
  5. Step 5: Solve for x
    x = 561,142.64/1,016.97
  6. Step 6: Final answer
    x = 551.78

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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.