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Finding the Fourth Proportional to 1,107.38, 1,528.29 and 635.31

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Solution

The fourth proportional to 1,107.38, 1,528.29 and 635.31 is: 876.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.38 : 1,528.29 = 635.31 : x
  2. Step 2: Convert to fraction form
    1,107.38/1,528.29 = 635.31/x
  3. Step 3: Cross multiply
    1,107.38x = 1,528.29 × 635.31
  4. Step 4: Simplify right side
    1,107.38x = 970,937.92
  5. Step 5: Solve for x
    x = 970,937.92/1,107.38
  6. Step 6: Final answer
    x = 876.79

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Double scale
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1.5x scale

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.