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Finding the Fourth Proportional to 831.10, 1,246.64 and 253.97

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Solution

The fourth proportional to 831.10, 1,246.64 and 253.97 is: 380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.10 : 1,246.64 = 253.97 : x
  2. Step 2: Convert to fraction form
    831.10/1,246.64 = 253.97/x
  3. Step 3: Cross multiply
    831.10x = 1,246.64 × 253.97
  4. Step 4: Simplify right side
    831.10x = 316,615.49
  5. Step 5: Solve for x
    x = 316,615.49/831.10
  6. Step 6: Final answer
    x = 380.96

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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.