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Finding the Fourth Proportional to 1,168.82, 1,754.19 and 399.86

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Solution

The fourth proportional to 1,168.82, 1,754.19 and 399.86 is: 600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.82 : 1,754.19 = 399.86 : x
  2. Step 2: Convert to fraction form
    1,168.82/1,754.19 = 399.86/x
  3. Step 3: Cross multiply
    1,168.82x = 1,754.19 × 399.86
  4. Step 4: Simplify right side
    1,168.82x = 701,430.41
  5. Step 5: Solve for x
    x = 701,430.41/1,168.82
  6. Step 6: Final answer
    x = 600.12

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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.