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Finding the Fourth Proportional to 1,423.25, 2,134.91 and 773.98

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Solution

The fourth proportional to 1,423.25, 2,134.91 and 773.98 is: 1,160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.25 : 2,134.91 = 773.98 : x
  2. Step 2: Convert to fraction form
    1,423.25/2,134.91 = 773.98/x
  3. Step 3: Cross multiply
    1,423.25x = 2,134.91 × 773.98
  4. Step 4: Simplify right side
    1,423.25x = 1,652,375.89
  5. Step 5: Solve for x
    x = 1,652,375.89/1,423.25
  6. Step 6: Final answer
    x = 1,160.99

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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.