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Finding the Fourth Proportional to 1,179.91, 1,768.62 and 399.22

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Solution

The fourth proportional to 1,179.91, 1,768.62 and 399.22 is: 598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.91 : 1,768.62 = 399.22 : x
  2. Step 2: Convert to fraction form
    1,179.91/1,768.62 = 399.22/x
  3. Step 3: Cross multiply
    1,179.91x = 1,768.62 × 399.22
  4. Step 4: Simplify right side
    1,179.91x = 706,068.48
  5. Step 5: Solve for x
    x = 706,068.48/1,179.91
  6. Step 6: Final answer
    x = 598.41

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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.