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Finding the Fourth Proportional to 831.72, 1,147.53 and 516.48

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Solution

The fourth proportional to 831.72, 1,147.53 and 516.48 is: 712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.72 : 1,147.53 = 516.48 : x
  2. Step 2: Convert to fraction form
    831.72/1,147.53 = 516.48/x
  3. Step 3: Cross multiply
    831.72x = 1,147.53 × 516.48
  4. Step 4: Simplify right side
    831.72x = 592,676.29
  5. Step 5: Solve for x
    x = 592,676.29/831.72
  6. Step 6: Final answer
    x = 712.59

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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.