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Finding the Fourth Proportional to 1,067.49, 1,601.78 and 490.77

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Solution

The fourth proportional to 1,067.49, 1,601.78 and 490.77 is: 736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.49 : 1,601.78 = 490.77 : x
  2. Step 2: Convert to fraction form
    1,067.49/1,601.78 = 490.77/x
  3. Step 3: Cross multiply
    1,067.49x = 1,601.78 × 490.77
  4. Step 4: Simplify right side
    1,067.49x = 786,103.12
  5. Step 5: Solve for x
    x = 786,103.12/1,067.49
  6. Step 6: Final answer
    x = 736.40

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Double scale
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1.5x scale

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.