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Finding the Fourth Proportional to 849.15, 1,272.33 and 523.85

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Solution

The fourth proportional to 849.15, 1,272.33 and 523.85 is: 784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.15 : 1,272.33 = 523.85 : x
  2. Step 2: Convert to fraction form
    849.15/1,272.33 = 523.85/x
  3. Step 3: Cross multiply
    849.15x = 1,272.33 × 523.85
  4. Step 4: Simplify right side
    849.15x = 666,503.71
  5. Step 5: Solve for x
    x = 666,503.71/849.15
  6. Step 6: Final answer
    x = 784.91

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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.