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Finding the Fourth Proportional to 788.09, 1,182.29 and 349.17

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Solution

The fourth proportional to 788.09, 1,182.29 and 349.17 is: 523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.09 : 1,182.29 = 349.17 : x
  2. Step 2: Convert to fraction form
    788.09/1,182.29 = 349.17/x
  3. Step 3: Cross multiply
    788.09x = 1,182.29 × 349.17
  4. Step 4: Simplify right side
    788.09x = 412,822.28
  5. Step 5: Solve for x
    x = 412,822.28/788.09
  6. Step 6: Final answer
    x = 523.83

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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.