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Finding the Fourth Proportional to 1,261.92, 1,892.57 and 396.23

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Solution

The fourth proportional to 1,261.92, 1,892.57 and 396.23 is: 594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.92 : 1,892.57 = 396.23 : x
  2. Step 2: Convert to fraction form
    1,261.92/1,892.57 = 396.23/x
  3. Step 3: Cross multiply
    1,261.92x = 1,892.57 × 396.23
  4. Step 4: Simplify right side
    1,261.92x = 749,893.01
  5. Step 5: Solve for x
    x = 749,893.01/1,261.92
  6. Step 6: Final answer
    x = 594.25

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Why These Related Problems?

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