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Finding the Fourth Proportional to 1,127.28, 1,692.06 and 798.47

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Solution

The fourth proportional to 1,127.28, 1,692.06 and 798.47 is: 1,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.28 : 1,692.06 = 798.47 : x
  2. Step 2: Convert to fraction form
    1,127.28/1,692.06 = 798.47/x
  3. Step 3: Cross multiply
    1,127.28x = 1,692.06 × 798.47
  4. Step 4: Simplify right side
    1,127.28x = 1,351,059.15
  5. Step 5: Solve for x
    x = 1,351,059.15/1,127.28
  6. Step 6: Final answer
    x = 1,198.51

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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.