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Finding the Fourth Proportional to 1,261.29, 1,892.07 and 383.79

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Solution

The fourth proportional to 1,261.29, 1,892.07 and 383.79 is: 575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.29 : 1,892.07 = 383.79 : x
  2. Step 2: Convert to fraction form
    1,261.29/1,892.07 = 383.79/x
  3. Step 3: Cross multiply
    1,261.29x = 1,892.07 × 383.79
  4. Step 4: Simplify right side
    1,261.29x = 726,157.55
  5. Step 5: Solve for x
    x = 726,157.55/1,261.29
  6. Step 6: Final answer
    x = 575.73

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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.