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Finding the Fourth Proportional to 1,193.27, 1,646.33 and 721.34

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Solution

The fourth proportional to 1,193.27, 1,646.33 and 721.34 is: 995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.27 : 1,646.33 = 721.34 : x
  2. Step 2: Convert to fraction form
    1,193.27/1,646.33 = 721.34/x
  3. Step 3: Cross multiply
    1,193.27x = 1,646.33 × 721.34
  4. Step 4: Simplify right side
    1,193.27x = 1,187,558.02
  5. Step 5: Solve for x
    x = 1,187,558.02/1,193.27
  6. Step 6: Final answer
    x = 995.22

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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.