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Finding the Fourth Proportional to 1,107.48, 1,660.75 and 490.75

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Solution

The fourth proportional to 1,107.48, 1,660.75 and 490.75 is: 735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.48 : 1,660.75 = 490.75 : x
  2. Step 2: Convert to fraction form
    1,107.48/1,660.75 = 490.75/x
  3. Step 3: Cross multiply
    1,107.48x = 1,660.75 × 490.75
  4. Step 4: Simplify right side
    1,107.48x = 815,013.06
  5. Step 5: Solve for x
    x = 815,013.06/1,107.48
  6. Step 6: Final answer
    x = 735.92

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.