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Finding the Fourth Proportional to 831.24, 1,147.01 and 499.73

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Solution

The fourth proportional to 831.24, 1,147.01 and 499.73 is: 689.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.24 : 1,147.01 = 499.73 : x
  2. Step 2: Convert to fraction form
    831.24/1,147.01 = 499.73/x
  3. Step 3: Cross multiply
    831.24x = 1,147.01 × 499.73
  4. Step 4: Simplify right side
    831.24x = 573,187.07
  5. Step 5: Solve for x
    x = 573,187.07/831.24
  6. Step 6: Final answer
    x = 689.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.