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Finding the Fourth Proportional to 1,128.20, 1,692.86 and 762.18

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Solution

The fourth proportional to 1,128.20, 1,692.86 and 762.18 is: 1,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.20 : 1,692.86 = 762.18 : x
  2. Step 2: Convert to fraction form
    1,128.20/1,692.86 = 762.18/x
  3. Step 3: Cross multiply
    1,128.20x = 1,692.86 × 762.18
  4. Step 4: Simplify right side
    1,128.20x = 1,290,264.03
  5. Step 5: Solve for x
    x = 1,290,264.03/1,128.20
  6. Step 6: Final answer
    x = 1,143.65

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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.