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Finding the Fourth Proportional to 1,086.97, 1,500.39 and 733.42

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Solution

The fourth proportional to 1,086.97, 1,500.39 and 733.42 is: 1,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.97 : 1,500.39 = 733.42 : x
  2. Step 2: Convert to fraction form
    1,086.97/1,500.39 = 733.42/x
  3. Step 3: Cross multiply
    1,086.97x = 1,500.39 × 733.42
  4. Step 4: Simplify right side
    1,086.97x = 1,100,416.03
  5. Step 5: Solve for x
    x = 1,100,416.03/1,086.97
  6. Step 6: Final answer
    x = 1,012.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.