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Finding the Fourth Proportional to 849.47, 1,274.47 and 416.39

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Solution

The fourth proportional to 849.47, 1,274.47 and 416.39 is: 624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.47 : 1,274.47 = 416.39 : x
  2. Step 2: Convert to fraction form
    849.47/1,274.47 = 416.39/x
  3. Step 3: Cross multiply
    849.47x = 1,274.47 × 416.39
  4. Step 4: Simplify right side
    849.47x = 530,669.15
  5. Step 5: Solve for x
    x = 530,669.15/849.47
  6. Step 6: Final answer
    x = 624.71

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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.