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Finding the Fourth Proportional to 1,323.72, 1,983.96 and 674.10

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Solution

The fourth proportional to 1,323.72, 1,983.96 and 674.10 is: 1,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.72 : 1,983.96 = 674.10 : x
  2. Step 2: Convert to fraction form
    1,323.72/1,983.96 = 674.10/x
  3. Step 3: Cross multiply
    1,323.72x = 1,983.96 × 674.10
  4. Step 4: Simplify right side
    1,323.72x = 1,337,387.44
  5. Step 5: Solve for x
    x = 1,337,387.44/1,323.72
  6. Step 6: Final answer
    x = 1,010.33

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Half scale
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Double scale
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Similar ratio
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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.