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Finding the Fourth Proportional to 831.36, 1,147.26 and 499.74

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Solution

The fourth proportional to 831.36, 1,147.26 and 499.74 is: 689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.36 : 1,147.26 = 499.74 : x
  2. Step 2: Convert to fraction form
    831.36/1,147.26 = 499.74/x
  3. Step 3: Cross multiply
    831.36x = 1,147.26 × 499.74
  4. Step 4: Simplify right side
    831.36x = 573,331.71
  5. Step 5: Solve for x
    x = 573,331.71/831.36
  6. Step 6: Final answer
    x = 689.63

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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.