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Finding the Fourth Proportional to 1,107.71, 1,527.47 and 827.50

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Solution

The fourth proportional to 1,107.71, 1,527.47 and 827.50 is: 1,141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.71 : 1,527.47 = 827.50 : x
  2. Step 2: Convert to fraction form
    1,107.71/1,527.47 = 827.50/x
  3. Step 3: Cross multiply
    1,107.71x = 1,527.47 × 827.50
  4. Step 4: Simplify right side
    1,107.71x = 1,263,981.43
  5. Step 5: Solve for x
    x = 1,263,981.43/1,107.71
  6. Step 6: Final answer
    x = 1,141.08

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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.