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Finding the Fourth Proportional to 1,261.14, 1,891.82 and 520.59

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Solution

The fourth proportional to 1,261.14, 1,891.82 and 520.59 is: 780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.14 : 1,891.82 = 520.59 : x
  2. Step 2: Convert to fraction form
    1,261.14/1,891.82 = 520.59/x
  3. Step 3: Cross multiply
    1,261.14x = 1,891.82 × 520.59
  4. Step 4: Simplify right side
    1,261.14x = 984,850.51
  5. Step 5: Solve for x
    x = 984,850.51/1,261.14
  6. Step 6: Final answer
    x = 780.92

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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.