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Finding the Fourth Proportional to 849.30, 1,273.65 and 459.59

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Solution

The fourth proportional to 849.30, 1,273.65 and 459.59 is: 689.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.30 : 1,273.65 = 459.59 : x
  2. Step 2: Convert to fraction form
    849.30/1,273.65 = 459.59/x
  3. Step 3: Cross multiply
    849.30x = 1,273.65 × 459.59
  4. Step 4: Simplify right side
    849.30x = 585,357.17
  5. Step 5: Solve for x
    x = 585,357.17/849.30
  6. Step 6: Final answer
    x = 689.22

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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.