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Finding the Fourth Proportional to 844.83, 1,165.73 and 495.59

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Solution

The fourth proportional to 844.83, 1,165.73 and 495.59 is: 683.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.83 : 1,165.73 = 495.59 : x
  2. Step 2: Convert to fraction form
    844.83/1,165.73 = 495.59/x
  3. Step 3: Cross multiply
    844.83x = 1,165.73 × 495.59
  4. Step 4: Simplify right side
    844.83x = 577,715.82
  5. Step 5: Solve for x
    x = 577,715.82/844.83
  6. Step 6: Final answer
    x = 683.82

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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.