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Finding the Fourth Proportional to 831.00, 1,247.27 and 420.43

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Solution

The fourth proportional to 831.00, 1,247.27 and 420.43 is: 631.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.00 : 1,247.27 = 420.43 : x
  2. Step 2: Convert to fraction form
    831.00/1,247.27 = 420.43/x
  3. Step 3: Cross multiply
    831.00x = 1,247.27 × 420.43
  4. Step 4: Simplify right side
    831.00x = 524,388.64
  5. Step 5: Solve for x
    x = 524,388.64/831.00
  6. Step 6: Final answer
    x = 631.03

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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.