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Finding the Fourth Proportional to 831.46, 1,241.33 and 635.43

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Solution

The fourth proportional to 831.46, 1,241.33 and 635.43 is: 948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.46 : 1,241.33 = 635.43 : x
  2. Step 2: Convert to fraction form
    831.46/1,241.33 = 635.43/x
  3. Step 3: Cross multiply
    831.46x = 1,241.33 × 635.43
  4. Step 4: Simplify right side
    831.46x = 788,778.32
  5. Step 5: Solve for x
    x = 788,778.32/831.46
  6. Step 6: Final answer
    x = 948.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.