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Finding the Fourth Proportional to 849.02, 1,274.13 and 589.61

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Solution

The fourth proportional to 849.02, 1,274.13 and 589.61 is: 884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.02 : 1,274.13 = 589.61 : x
  2. Step 2: Convert to fraction form
    849.02/1,274.13 = 589.61/x
  3. Step 3: Cross multiply
    849.02x = 1,274.13 × 589.61
  4. Step 4: Simplify right side
    849.02x = 751,242.97
  5. Step 5: Solve for x
    x = 751,242.97/849.02
  6. Step 6: Final answer
    x = 884.84

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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.