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Finding the Fourth Proportional to 844.62, 1,165.47 and 534.06

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Solution

The fourth proportional to 844.62, 1,165.47 and 534.06 is: 736.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.62 : 1,165.47 = 534.06 : x
  2. Step 2: Convert to fraction form
    844.62/1,165.47 = 534.06/x
  3. Step 3: Cross multiply
    844.62x = 1,165.47 × 534.06
  4. Step 4: Simplify right side
    844.62x = 622,430.91
  5. Step 5: Solve for x
    x = 622,430.91/844.62
  6. Step 6: Final answer
    x = 736.94

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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.