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Finding the Fourth Proportional to 1,137.11, 1,705.89 and 520.84

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Solution

The fourth proportional to 1,137.11, 1,705.89 and 520.84 is: 781.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.11 : 1,705.89 = 520.84 : x
  2. Step 2: Convert to fraction form
    1,137.11/1,705.89 = 520.84/x
  3. Step 3: Cross multiply
    1,137.11x = 1,705.89 × 520.84
  4. Step 4: Simplify right side
    1,137.11x = 888,487.22
  5. Step 5: Solve for x
    x = 888,487.22/1,137.11
  6. Step 6: Final answer
    x = 781.36

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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.