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Finding the Fourth Proportional to 831.84, 1,247.36 and 523.94

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Solution

The fourth proportional to 831.84, 1,247.36 and 523.94 is: 785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.84 : 1,247.36 = 523.94 : x
  2. Step 2: Convert to fraction form
    831.84/1,247.36 = 523.94/x
  3. Step 3: Cross multiply
    831.84x = 1,247.36 × 523.94
  4. Step 4: Simplify right side
    831.84x = 653,532.94
  5. Step 5: Solve for x
    x = 653,532.94/831.84
  6. Step 6: Final answer
    x = 785.65

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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.