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Finding the Fourth Proportional to 831.55, 1,247.48 and 246.53

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Solution

The fourth proportional to 831.55, 1,247.48 and 246.53 is: 369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.55 : 1,247.48 = 246.53 : x
  2. Step 2: Convert to fraction form
    831.55/1,247.48 = 246.53/x
  3. Step 3: Cross multiply
    831.55x = 1,247.48 × 246.53
  4. Step 4: Simplify right side
    831.55x = 307,541.24
  5. Step 5: Solve for x
    x = 307,541.24/831.55
  6. Step 6: Final answer
    x = 369.84

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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.