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Finding the Fourth Proportional to 831.33, 1,244.43 and 723.33

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Solution

The fourth proportional to 831.33, 1,244.43 and 723.33 is: 1,082.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.33 : 1,244.43 = 723.33 : x
  2. Step 2: Convert to fraction form
    831.33/1,244.43 = 723.33/x
  3. Step 3: Cross multiply
    831.33x = 1,244.43 × 723.33
  4. Step 4: Simplify right side
    831.33x = 900,133.55
  5. Step 5: Solve for x
    x = 900,133.55/831.33
  6. Step 6: Final answer
    x = 1,082.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.