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Finding the Fourth Proportional to 772.22, 1,065.98 and 523.88

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Solution

The fourth proportional to 772.22, 1,065.98 and 523.88 is: 723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.22 : 1,065.98 = 523.88 : x
  2. Step 2: Convert to fraction form
    772.22/1,065.98 = 523.88/x
  3. Step 3: Cross multiply
    772.22x = 1,065.98 × 523.88
  4. Step 4: Simplify right side
    772.22x = 558,445.60
  5. Step 5: Solve for x
    x = 558,445.60/772.22
  6. Step 6: Final answer
    x = 723.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.