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Finding the Fourth Proportional to 910.35, 1,253.40 and 827.20

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Solution

The fourth proportional to 910.35, 1,253.40 and 827.20 is: 1,138.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.35 : 1,253.40 = 827.20 : x
  2. Step 2: Convert to fraction form
    910.35/1,253.40 = 827.20/x
  3. Step 3: Cross multiply
    910.35x = 1,253.40 × 827.20
  4. Step 4: Simplify right side
    910.35x = 1,036,816.80
  5. Step 5: Solve for x
    x = 1,036,816.80/910.35
  6. Step 6: Final answer
    x = 1,138.92

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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.