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Finding the Fourth Proportional to 831.02, 1,245.99 and 446.54

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Solution

The fourth proportional to 831.02, 1,245.99 and 446.54 is: 669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.02 : 1,245.99 = 446.54 : x
  2. Step 2: Convert to fraction form
    831.02/1,245.99 = 446.54/x
  3. Step 3: Cross multiply
    831.02x = 1,245.99 × 446.54
  4. Step 4: Simplify right side
    831.02x = 556,384.37
  5. Step 5: Solve for x
    x = 556,384.37/831.02
  6. Step 6: Final answer
    x = 669.52

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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.