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Finding the Fourth Proportional to 1,107.05, 1,527.61 and 635.07

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Solution

The fourth proportional to 1,107.05, 1,527.61 and 635.07 is: 876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.05 : 1,527.61 = 635.07 : x
  2. Step 2: Convert to fraction form
    1,107.05/1,527.61 = 635.07/x
  3. Step 3: Cross multiply
    1,107.05x = 1,527.61 × 635.07
  4. Step 4: Simplify right side
    1,107.05x = 970,139.28
  5. Step 5: Solve for x
    x = 970,139.28/1,107.05
  6. Step 6: Final answer
    x = 876.33

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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.