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Finding the Fourth Proportional to 844.87, 1,165.89 and 495.55

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Solution

The fourth proportional to 844.87, 1,165.89 and 495.55 is: 683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.87 : 1,165.89 = 495.55 : x
  2. Step 2: Convert to fraction form
    844.87/1,165.89 = 495.55/x
  3. Step 3: Cross multiply
    844.87x = 1,165.89 × 495.55
  4. Step 4: Simplify right side
    844.87x = 577,756.79
  5. Step 5: Solve for x
    x = 577,756.79/844.87
  6. Step 6: Final answer
    x = 683.84

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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.