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Finding the Fourth Proportional to 831.29, 1,146.83 and 499.64

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Solution

The fourth proportional to 831.29, 1,146.83 and 499.64 is: 689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.29 : 1,146.83 = 499.64 : x
  2. Step 2: Convert to fraction form
    831.29/1,146.83 = 499.64/x
  3. Step 3: Cross multiply
    831.29x = 1,146.83 × 499.64
  4. Step 4: Simplify right side
    831.29x = 572,993.91
  5. Step 5: Solve for x
    x = 572,993.91/831.29
  6. Step 6: Final answer
    x = 689.29

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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.