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Finding the Fourth Proportional to 693.17, 1,039.74 and 180.17

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Solution

The fourth proportional to 693.17, 1,039.74 and 180.17 is: 270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.17 : 1,039.74 = 180.17 : x
  2. Step 2: Convert to fraction form
    693.17/1,039.74 = 180.17/x
  3. Step 3: Cross multiply
    693.17x = 1,039.74 × 180.17
  4. Step 4: Simplify right side
    693.17x = 187,329.96
  5. Step 5: Solve for x
    x = 187,329.96/693.17
  6. Step 6: Final answer
    x = 270.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.