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Finding the Fourth Proportional to 1,422.06, 2,132.46 and 555.78

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Solution

The fourth proportional to 1,422.06, 2,132.46 and 555.78 is: 833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.06 : 2,132.46 = 555.78 : x
  2. Step 2: Convert to fraction form
    1,422.06/2,132.46 = 555.78/x
  3. Step 3: Cross multiply
    1,422.06x = 2,132.46 × 555.78
  4. Step 4: Simplify right side
    1,422.06x = 1,185,178.62
  5. Step 5: Solve for x
    x = 1,185,178.62/1,422.06
  6. Step 6: Final answer
    x = 833.42

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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.