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Finding the Fourth Proportional to 849.37, 1,173.60 and 654.56

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Solution

The fourth proportional to 849.37, 1,173.60 and 654.56 is: 904.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.37 : 1,173.60 = 654.56 : x
  2. Step 2: Convert to fraction form
    849.37/1,173.60 = 654.56/x
  3. Step 3: Cross multiply
    849.37x = 1,173.60 × 654.56
  4. Step 4: Simplify right side
    849.37x = 768,191.62
  5. Step 5: Solve for x
    x = 768,191.62/849.37
  6. Step 6: Final answer
    x = 904.43

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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.