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Finding the Fourth Proportional to 1,195.08, 1,649.31 and 723.09

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Solution

The fourth proportional to 1,195.08, 1,649.31 and 723.09 is: 997.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.08 : 1,649.31 = 723.09 : x
  2. Step 2: Convert to fraction form
    1,195.08/1,649.31 = 723.09/x
  3. Step 3: Cross multiply
    1,195.08x = 1,649.31 × 723.09
  4. Step 4: Simplify right side
    1,195.08x = 1,192,599.57
  5. Step 5: Solve for x
    x = 1,192,599.57/1,195.08
  6. Step 6: Final answer
    x = 997.92

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Half scale
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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.