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Finding the Fourth Proportional to 1,169.34, 1,753.83 and 399.84

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Solution

The fourth proportional to 1,169.34, 1,753.83 and 399.84 is: 599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.34 : 1,753.83 = 399.84 : x
  2. Step 2: Convert to fraction form
    1,169.34/1,753.83 = 399.84/x
  3. Step 3: Cross multiply
    1,169.34x = 1,753.83 × 399.84
  4. Step 4: Simplify right side
    1,169.34x = 701,251.39
  5. Step 5: Solve for x
    x = 701,251.39/1,169.34
  6. Step 6: Final answer
    x = 599.70

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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.