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Finding the Fourth Proportional to 849.12, 1,171.42 and 534.52

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Solution

The fourth proportional to 849.12, 1,171.42 and 534.52 is: 737.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.12 : 1,171.42 = 534.52 : x
  2. Step 2: Convert to fraction form
    849.12/1,171.42 = 534.52/x
  3. Step 3: Cross multiply
    849.12x = 1,171.42 × 534.52
  4. Step 4: Simplify right side
    849.12x = 626,147.42
  5. Step 5: Solve for x
    x = 626,147.42/849.12
  6. Step 6: Final answer
    x = 737.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.