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Finding the Fourth Proportional to 849.02, 1,273.23 and 459.31

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Solution

The fourth proportional to 849.02, 1,273.23 and 459.31 is: 688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.02 : 1,273.23 = 459.31 : x
  2. Step 2: Convert to fraction form
    849.02/1,273.23 = 459.31/x
  3. Step 3: Cross multiply
    849.02x = 1,273.23 × 459.31
  4. Step 4: Simplify right side
    849.02x = 584,805.18
  5. Step 5: Solve for x
    x = 584,805.18/849.02
  6. Step 6: Final answer
    x = 688.80

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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.