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Finding the Fourth Proportional to 1,263.16, 1,744.26 and 1,221.84

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Solution

The fourth proportional to 1,263.16, 1,744.26 and 1,221.84 is: 1,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.16 : 1,744.26 = 1,221.84 : x
  2. Step 2: Convert to fraction form
    1,263.16/1,744.26 = 1,221.84/x
  3. Step 3: Cross multiply
    1,263.16x = 1,744.26 × 1,221.84
  4. Step 4: Simplify right side
    1,263.16x = 2,131,206.64
  5. Step 5: Solve for x
    x = 2,131,206.64/1,263.16
  6. Step 6: Final answer
    x = 1,687.20

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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.