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Finding the Fourth Proportional to 831.79, 1,246.74 and 506.44

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Solution

The fourth proportional to 831.79, 1,246.74 and 506.44 is: 759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.79 : 1,246.74 = 506.44 : x
  2. Step 2: Convert to fraction form
    831.79/1,246.74 = 506.44/x
  3. Step 3: Cross multiply
    831.79x = 1,246.74 × 506.44
  4. Step 4: Simplify right side
    831.79x = 631,399.01
  5. Step 5: Solve for x
    x = 631,399.01/831.79
  6. Step 6: Final answer
    x = 759.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.