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Finding the Fourth Proportional to 772.22, 1,156.26 and 406.24

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Solution

The fourth proportional to 772.22, 1,156.26 and 406.24 is: 608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.22 : 1,156.26 = 406.24 : x
  2. Step 2: Convert to fraction form
    772.22/1,156.26 = 406.24/x
  3. Step 3: Cross multiply
    772.22x = 1,156.26 × 406.24
  4. Step 4: Simplify right side
    772.22x = 469,713.28
  5. Step 5: Solve for x
    x = 469,713.28/772.22
  6. Step 6: Final answer
    x = 608.26

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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.