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Finding the Fourth Proportional to 849.11, 1,270.76 and 712.31

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Solution

The fourth proportional to 849.11, 1,270.76 and 712.31 is: 1,066.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.11 : 1,270.76 = 712.31 : x
  2. Step 2: Convert to fraction form
    849.11/1,270.76 = 712.31/x
  3. Step 3: Cross multiply
    849.11x = 1,270.76 × 712.31
  4. Step 4: Simplify right side
    849.11x = 905,165.14
  5. Step 5: Solve for x
    x = 905,165.14/849.11
  6. Step 6: Final answer
    x = 1,066.02

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Why These Related Problems?

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