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Finding the Fourth Proportional to 831.30, 1,247.34 and 283.56

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Solution

The fourth proportional to 831.30, 1,247.34 and 283.56 is: 425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.30 : 1,247.34 = 283.56 : x
  2. Step 2: Convert to fraction form
    831.30/1,247.34 = 283.56/x
  3. Step 3: Cross multiply
    831.30x = 1,247.34 × 283.56
  4. Step 4: Simplify right side
    831.30x = 353,695.73
  5. Step 5: Solve for x
    x = 353,695.73/831.30
  6. Step 6: Final answer
    x = 425.47

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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.