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Finding the Fourth Proportional to 1,422.12, 2,133.36 and 556.56

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Solution

The fourth proportional to 1,422.12, 2,133.36 and 556.56 is: 834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.12 : 2,133.36 = 556.56 : x
  2. Step 2: Convert to fraction form
    1,422.12/2,133.36 = 556.56/x
  3. Step 3: Cross multiply
    1,422.12x = 2,133.36 × 556.56
  4. Step 4: Simplify right side
    1,422.12x = 1,187,342.84
  5. Step 5: Solve for x
    x = 1,187,342.84/1,422.12
  6. Step 6: Final answer
    x = 834.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.