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Finding the Fourth Proportional to 1,168.52, 1,753.04 and 399

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Solution

The fourth proportional to 1,168.52, 1,753.04 and 399 is: 598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.52 : 1,753.04 = 399 : x
  2. Step 2: Convert to fraction form
    1,168.52/1,753.04 = 399/x
  3. Step 3: Cross multiply
    1,168.52x = 1,753.04 × 399
  4. Step 4: Simplify right side
    1,168.52x = 699,462.96
  5. Step 5: Solve for x
    x = 699,462.96/1,168.52
  6. Step 6: Final answer
    x = 598.59

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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.