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Finding the Fourth Proportional to 1,226.15, 1,692.16 and 687.83

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Solution

The fourth proportional to 1,226.15, 1,692.16 and 687.83 is: 949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.15 : 1,692.16 = 687.83 : x
  2. Step 2: Convert to fraction form
    1,226.15/1,692.16 = 687.83/x
  3. Step 3: Cross multiply
    1,226.15x = 1,692.16 × 687.83
  4. Step 4: Simplify right side
    1,226.15x = 1,163,923.50
  5. Step 5: Solve for x
    x = 1,163,923.50/1,226.15
  6. Step 6: Final answer
    x = 949.25

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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.