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Finding the Fourth Proportional to 1,169.05, 1,753.67 and 347.31

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Solution

The fourth proportional to 1,169.05, 1,753.67 and 347.31 is: 520.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.05 : 1,753.67 = 347.31 : x
  2. Step 2: Convert to fraction form
    1,169.05/1,753.67 = 347.31/x
  3. Step 3: Cross multiply
    1,169.05x = 1,753.67 × 347.31
  4. Step 4: Simplify right side
    1,169.05x = 609,067.13
  5. Step 5: Solve for x
    x = 609,067.13/1,169.05
  6. Step 6: Final answer
    x = 520.99

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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.