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Finding the Fourth Proportional to 831.70, 1,247.99 and 369.81

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Solution

The fourth proportional to 831.70, 1,247.99 and 369.81 is: 554.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.70 : 1,247.99 = 369.81 : x
  2. Step 2: Convert to fraction form
    831.70/1,247.99 = 369.81/x
  3. Step 3: Cross multiply
    831.70x = 1,247.99 × 369.81
  4. Step 4: Simplify right side
    831.70x = 461,519.18
  5. Step 5: Solve for x
    x = 461,519.18/831.70
  6. Step 6: Final answer
    x = 554.91

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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.