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Finding the Fourth Proportional to 831.49, 1,244.80 and 504.65

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Solution

The fourth proportional to 831.49, 1,244.80 and 504.65 is: 755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.49 : 1,244.80 = 504.65 : x
  2. Step 2: Convert to fraction form
    831.49/1,244.80 = 504.65/x
  3. Step 3: Cross multiply
    831.49x = 1,244.80 × 504.65
  4. Step 4: Simplify right side
    831.49x = 628,190.64
  5. Step 5: Solve for x
    x = 628,190.64/831.49
  6. Step 6: Final answer
    x = 755.50

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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.