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Finding the Fourth Proportional to 849.26, 1,274.16 and 541.38

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Solution

The fourth proportional to 849.26, 1,274.16 and 541.38 is: 812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.26 : 1,274.16 = 541.38 : x
  2. Step 2: Convert to fraction form
    849.26/1,274.16 = 541.38/x
  3. Step 3: Cross multiply
    849.26x = 1,274.16 × 541.38
  4. Step 4: Simplify right side
    849.26x = 689,804.74
  5. Step 5: Solve for x
    x = 689,804.74/849.26
  6. Step 6: Final answer
    x = 812.24

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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.