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Finding the Fourth Proportional to 849.99, 1,274.43 and 459.74

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Solution

The fourth proportional to 849.99, 1,274.43 and 459.74 is: 689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.99 : 1,274.43 = 459.74 : x
  2. Step 2: Convert to fraction form
    849.99/1,274.43 = 459.74/x
  3. Step 3: Cross multiply
    849.99x = 1,274.43 × 459.74
  4. Step 4: Simplify right side
    849.99x = 585,904.15
  5. Step 5: Solve for x
    x = 585,904.15/849.99
  6. Step 6: Final answer
    x = 689.31

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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.