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Finding the Fourth Proportional to 1,795.78, 2,692.86 and 699.31

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Solution

The fourth proportional to 1,795.78, 2,692.86 and 699.31 is: 1,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.78 : 2,692.86 = 699.31 : x
  2. Step 2: Convert to fraction form
    1,795.78/2,692.86 = 699.31/x
  3. Step 3: Cross multiply
    1,795.78x = 2,692.86 × 699.31
  4. Step 4: Simplify right side
    1,795.78x = 1,883,143.93
  5. Step 5: Solve for x
    x = 1,883,143.93/1,795.78
  6. Step 6: Final answer
    x = 1,048.65

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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.