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Finding the Fourth Proportional to 1,261.07, 1,892.03 and 395.40

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Solution

The fourth proportional to 1,261.07, 1,892.03 and 395.40 is: 593.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.07 : 1,892.03 = 395.40 : x
  2. Step 2: Convert to fraction form
    1,261.07/1,892.03 = 395.40/x
  3. Step 3: Cross multiply
    1,261.07x = 1,892.03 × 395.40
  4. Step 4: Simplify right side
    1,261.07x = 748,108.66
  5. Step 5: Solve for x
    x = 748,108.66/1,261.07
  6. Step 6: Final answer
    x = 593.23

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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.