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Finding the Fourth Proportional to 1,795.40, 2,692.02 and 698.84

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Solution

The fourth proportional to 1,795.40, 2,692.02 and 698.84 is: 1,047.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.40 : 2,692.02 = 698.84 : x
  2. Step 2: Convert to fraction form
    1,795.40/2,692.02 = 698.84/x
  3. Step 3: Cross multiply
    1,795.40x = 2,692.02 × 698.84
  4. Step 4: Simplify right side
    1,795.40x = 1,881,291.26
  5. Step 5: Solve for x
    x = 1,881,291.26/1,795.40
  6. Step 6: Final answer
    x = 1,047.84

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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.