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Finding the Fourth Proportional to 1,261.86, 1,892.88 and 396.78

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Solution

The fourth proportional to 1,261.86, 1,892.88 and 396.78 is: 595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.86 : 1,892.88 = 396.78 : x
  2. Step 2: Convert to fraction form
    1,261.86/1,892.88 = 396.78/x
  3. Step 3: Cross multiply
    1,261.86x = 1,892.88 × 396.78
  4. Step 4: Simplify right side
    1,261.86x = 751,056.93
  5. Step 5: Solve for x
    x = 751,056.93/1,261.86
  6. Step 6: Final answer
    x = 595.20

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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.