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Finding the Fourth Proportional to 1,014.28, 1,524.84 and 800.44

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Solution

The fourth proportional to 1,014.28, 1,524.84 and 800.44 is: 1,203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.28 : 1,524.84 = 800.44 : x
  2. Step 2: Convert to fraction form
    1,014.28/1,524.84 = 800.44/x
  3. Step 3: Cross multiply
    1,014.28x = 1,524.84 × 800.44
  4. Step 4: Simplify right side
    1,014.28x = 1,220,542.93
  5. Step 5: Solve for x
    x = 1,220,542.93/1,014.28
  6. Step 6: Final answer
    x = 1,203.36

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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.