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Finding the Fourth Proportional to 1,107.61, 1,527.86 and 827.96

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Solution

The fourth proportional to 1,107.61, 1,527.86 and 827.96 is: 1,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.61 : 1,527.86 = 827.96 : x
  2. Step 2: Convert to fraction form
    1,107.61/1,527.86 = 827.96/x
  3. Step 3: Cross multiply
    1,107.61x = 1,527.86 × 827.96
  4. Step 4: Simplify right side
    1,107.61x = 1,265,001.40
  5. Step 5: Solve for x
    x = 1,265,001.40/1,107.61
  6. Step 6: Final answer
    x = 1,142.10

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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.