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Finding the Fourth Proportional to 1,361.41, 2,041.17 and 539.44

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Solution

The fourth proportional to 1,361.41, 2,041.17 and 539.44 is: 808.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.41 : 2,041.17 = 539.44 : x
  2. Step 2: Convert to fraction form
    1,361.41/2,041.17 = 539.44/x
  3. Step 3: Cross multiply
    1,361.41x = 2,041.17 × 539.44
  4. Step 4: Simplify right side
    1,361.41x = 1,101,088.74
  5. Step 5: Solve for x
    x = 1,101,088.74/1,361.41
  6. Step 6: Final answer
    x = 808.79

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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.