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Finding the Fourth Proportional to 849.24, 1,273.86 and 459.24

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Solution

The fourth proportional to 849.24, 1,273.86 and 459.24 is: 688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.24 : 1,273.86 = 459.24 : x
  2. Step 2: Convert to fraction form
    849.24/1,273.86 = 459.24/x
  3. Step 3: Cross multiply
    849.24x = 1,273.86 × 459.24
  4. Step 4: Simplify right side
    849.24x = 585,007.47
  5. Step 5: Solve for x
    x = 585,007.47/849.24
  6. Step 6: Final answer
    x = 688.86

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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.