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Finding the Fourth Proportional to 1,422.89, 2,134.34 and 556.59

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Solution

The fourth proportional to 1,422.89, 2,134.34 and 556.59 is: 834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.89 : 2,134.34 = 556.59 : x
  2. Step 2: Convert to fraction form
    1,422.89/2,134.34 = 556.59/x
  3. Step 3: Cross multiply
    1,422.89x = 2,134.34 × 556.59
  4. Step 4: Simplify right side
    1,422.89x = 1,187,952.30
  5. Step 5: Solve for x
    x = 1,187,952.30/1,422.89
  6. Step 6: Final answer
    x = 834.89

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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.