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Finding the Fourth Proportional to 831.23, 1,147.68 and 516.64

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Solution

The fourth proportional to 831.23, 1,147.68 and 516.64 is: 713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.23 : 1,147.68 = 516.64 : x
  2. Step 2: Convert to fraction form
    831.23/1,147.68 = 516.64/x
  3. Step 3: Cross multiply
    831.23x = 1,147.68 × 516.64
  4. Step 4: Simplify right side
    831.23x = 592,935.06
  5. Step 5: Solve for x
    x = 592,935.06/831.23
  6. Step 6: Final answer
    x = 713.32

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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.