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Finding the Fourth Proportional to 844.91, 1,165.23 and 549.89

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Solution

The fourth proportional to 844.91, 1,165.23 and 549.89 is: 758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.91 : 1,165.23 = 549.89 : x
  2. Step 2: Convert to fraction form
    844.91/1,165.23 = 549.89/x
  3. Step 3: Cross multiply
    844.91x = 1,165.23 × 549.89
  4. Step 4: Simplify right side
    844.91x = 640,748.32
  5. Step 5: Solve for x
    x = 640,748.32/844.91
  6. Step 6: Final answer
    x = 758.36

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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.