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Finding the Fourth Proportional to 1,795.67, 2,692.44 and 698.75

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Solution

The fourth proportional to 1,795.67, 2,692.44 and 698.75 is: 1,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.67 : 2,692.44 = 698.75 : x
  2. Step 2: Convert to fraction form
    1,795.67/2,692.44 = 698.75/x
  3. Step 3: Cross multiply
    1,795.67x = 2,692.44 × 698.75
  4. Step 4: Simplify right side
    1,795.67x = 1,881,328.99
  5. Step 5: Solve for x
    x = 1,881,328.99/1,795.67
  6. Step 6: Final answer
    x = 1,047.71

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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.