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Finding the Fourth Proportional to 693.19, 1,039.78 and 180.19

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Solution

The fourth proportional to 693.19, 1,039.78 and 180.19 is: 270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.19 : 1,039.78 = 180.19 : x
  2. Step 2: Convert to fraction form
    693.19/1,039.78 = 180.19/x
  3. Step 3: Cross multiply
    693.19x = 1,039.78 × 180.19
  4. Step 4: Simplify right side
    693.19x = 187,355.58
  5. Step 5: Solve for x
    x = 187,355.58/693.19
  6. Step 6: Final answer
    x = 270.28

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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.