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Finding the Fourth Proportional to 831.65, 1,247.41 and 506.33

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Solution

The fourth proportional to 831.65, 1,247.41 and 506.33 is: 759.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.65 : 1,247.41 = 506.33 : x
  2. Step 2: Convert to fraction form
    831.65/1,247.41 = 506.33/x
  3. Step 3: Cross multiply
    831.65x = 1,247.41 × 506.33
  4. Step 4: Simplify right side
    831.65x = 631,600.18
  5. Step 5: Solve for x
    x = 631,600.18/831.65
  6. Step 6: Final answer
    x = 759.46

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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.