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Finding the Fourth Proportional to 831.60, 1,147.98 and 516.96

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Solution

The fourth proportional to 831.60, 1,147.98 and 516.96 is: 713.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.60 : 1,147.98 = 516.96 : x
  2. Step 2: Convert to fraction form
    831.60/1,147.98 = 516.96/x
  3. Step 3: Cross multiply
    831.60x = 1,147.98 × 516.96
  4. Step 4: Simplify right side
    831.60x = 593,459.74
  5. Step 5: Solve for x
    x = 593,459.74/831.60
  6. Step 6: Final answer
    x = 713.64

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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.