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Finding the Fourth Proportional to 852.13, 1,277.91 and 523.06

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Solution

The fourth proportional to 852.13, 1,277.91 and 523.06 is: 784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.13 : 1,277.91 = 523.06 : x
  2. Step 2: Convert to fraction form
    852.13/1,277.91 = 523.06/x
  3. Step 3: Cross multiply
    852.13x = 1,277.91 × 523.06
  4. Step 4: Simplify right side
    852.13x = 668,422.62
  5. Step 5: Solve for x
    x = 668,422.62/852.13
  6. Step 6: Final answer
    x = 784.41

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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.