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Finding the Fourth Proportional to 1,251.90, 1,727.57 and 692.37

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Solution

The fourth proportional to 1,251.90, 1,727.57 and 692.37 is: 955.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.90 : 1,727.57 = 692.37 : x
  2. Step 2: Convert to fraction form
    1,251.90/1,727.57 = 692.37/x
  3. Step 3: Cross multiply
    1,251.90x = 1,727.57 × 692.37
  4. Step 4: Simplify right side
    1,251.90x = 1,196,119.37
  5. Step 5: Solve for x
    x = 1,196,119.37/1,251.90
  6. Step 6: Final answer
    x = 955.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.