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Finding the Fourth Proportional to 1,226.37, 1,692.33 and 695.24

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Solution

The fourth proportional to 1,226.37, 1,692.33 and 695.24 is: 959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.37 : 1,692.33 = 695.24 : x
  2. Step 2: Convert to fraction form
    1,226.37/1,692.33 = 695.24/x
  3. Step 3: Cross multiply
    1,226.37x = 1,692.33 × 695.24
  4. Step 4: Simplify right side
    1,226.37x = 1,176,563.57
  5. Step 5: Solve for x
    x = 1,176,563.57/1,226.37
  6. Step 6: Final answer
    x = 959.39

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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.