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Finding the Fourth Proportional to 1,128.35, 1,692.93 and 806.24

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Solution

The fourth proportional to 1,128.35, 1,692.93 and 806.24 is: 1,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.35 : 1,692.93 = 806.24 : x
  2. Step 2: Convert to fraction form
    1,128.35/1,692.93 = 806.24/x
  3. Step 3: Cross multiply
    1,128.35x = 1,692.93 × 806.24
  4. Step 4: Simplify right side
    1,128.35x = 1,364,907.88
  5. Step 5: Solve for x
    x = 1,364,907.88/1,128.35
  6. Step 6: Final answer
    x = 1,209.65

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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.