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Finding the Fourth Proportional to 844.14, 1,266.51 and 602.56

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Solution

The fourth proportional to 844.14, 1,266.51 and 602.56 is: 904.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.14 : 1,266.51 = 602.56 : x
  2. Step 2: Convert to fraction form
    844.14/1,266.51 = 602.56/x
  3. Step 3: Cross multiply
    844.14x = 1,266.51 × 602.56
  4. Step 4: Simplify right side
    844.14x = 763,141.93
  5. Step 5: Solve for x
    x = 763,141.93/844.14
  6. Step 6: Final answer
    x = 904.05

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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.