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Finding the Fourth Proportional to 910.22, 1,253.22 and 827.07

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Solution

The fourth proportional to 910.22, 1,253.22 and 827.07 is: 1,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.22 : 1,253.22 = 827.07 : x
  2. Step 2: Convert to fraction form
    910.22/1,253.22 = 827.07/x
  3. Step 3: Cross multiply
    910.22x = 1,253.22 × 827.07
  4. Step 4: Simplify right side
    910.22x = 1,036,499.66
  5. Step 5: Solve for x
    x = 1,036,499.66/910.22
  6. Step 6: Final answer
    x = 1,138.74

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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.