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Finding the Fourth Proportional to 1,263.98, 1,744.26 and 1,226.72

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Solution

The fourth proportional to 1,263.98, 1,744.26 and 1,226.72 is: 1,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.98 : 1,744.26 = 1,226.72 : x
  2. Step 2: Convert to fraction form
    1,263.98/1,744.26 = 1,226.72/x
  3. Step 3: Cross multiply
    1,263.98x = 1,744.26 × 1,226.72
  4. Step 4: Simplify right side
    1,263.98x = 2,139,718.63
  5. Step 5: Solve for x
    x = 2,139,718.63/1,263.98
  6. Step 6: Final answer
    x = 1,692.84

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