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Finding the Fourth Proportional to 831.81, 1,247.70 and 215.51

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Solution

The fourth proportional to 831.81, 1,247.70 and 215.51 is: 323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.81 : 1,247.70 = 215.51 : x
  2. Step 2: Convert to fraction form
    831.81/1,247.70 = 215.51/x
  3. Step 3: Cross multiply
    831.81x = 1,247.70 × 215.51
  4. Step 4: Simplify right side
    831.81x = 268,885.59
  5. Step 5: Solve for x
    x = 268,885.59/831.81
  6. Step 6: Final answer
    x = 323.26

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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.