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Finding the Fourth Proportional to 844.01, 1,265.43 and 375.23

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Solution

The fourth proportional to 844.01, 1,265.43 and 375.23 is: 562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.01 : 1,265.43 = 375.23 : x
  2. Step 2: Convert to fraction form
    844.01/1,265.43 = 375.23/x
  3. Step 3: Cross multiply
    844.01x = 1,265.43 × 375.23
  4. Step 4: Simplify right side
    844.01x = 474,827.30
  5. Step 5: Solve for x
    x = 474,827.30/844.01
  6. Step 6: Final answer
    x = 562.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.