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Finding the Fourth Proportional to 844.50, 1,165.43 and 495.18

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Solution

The fourth proportional to 844.50, 1,165.43 and 495.18 is: 683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.50 : 1,165.43 = 495.18 : x
  2. Step 2: Convert to fraction form
    844.50/1,165.43 = 495.18/x
  3. Step 3: Cross multiply
    844.50x = 1,165.43 × 495.18
  4. Step 4: Simplify right side
    844.50x = 577,095.15
  5. Step 5: Solve for x
    x = 577,095.15/844.50
  6. Step 6: Final answer
    x = 683.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.