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Finding the Fourth Proportional to 831.01, 1,146.81 and 499.18

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Solution

The fourth proportional to 831.01, 1,146.81 and 499.18 is: 688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.01 : 1,146.81 = 499.18 : x
  2. Step 2: Convert to fraction form
    831.01/1,146.81 = 499.18/x
  3. Step 3: Cross multiply
    831.01x = 1,146.81 × 499.18
  4. Step 4: Simplify right side
    831.01x = 572,464.62
  5. Step 5: Solve for x
    x = 572,464.62/831.01
  6. Step 6: Final answer
    x = 688.88

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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.