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Finding the Fourth Proportional to 831.22, 1,246.78 and 214.94

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Solution

The fourth proportional to 831.22, 1,246.78 and 214.94 is: 322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.22 : 1,246.78 = 214.94 : x
  2. Step 2: Convert to fraction form
    831.22/1,246.78 = 214.94/x
  3. Step 3: Cross multiply
    831.22x = 1,246.78 × 214.94
  4. Step 4: Simplify right side
    831.22x = 267,982.89
  5. Step 5: Solve for x
    x = 267,982.89/831.22
  6. Step 6: Final answer
    x = 322.40

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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.