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Finding the Fourth Proportional to 827.40, 1,116.45 and 827.40

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Solution

The fourth proportional to 827.40, 1,116.45 and 827.40 is: 1,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.40 : 1,116.45 = 827.40 : x
  2. Step 2: Convert to fraction form
    827.40/1,116.45 = 827.40/x
  3. Step 3: Cross multiply
    827.40x = 1,116.45 × 827.40
  4. Step 4: Simplify right side
    827.40x = 923,750.73
  5. Step 5: Solve for x
    x = 923,750.73/827.40
  6. Step 6: Final answer
    x = 1,116.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.