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Finding the Fourth Proportional to 1,193.87, 1,647.56 and 721.77

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Solution

The fourth proportional to 1,193.87, 1,647.56 and 721.77 is: 996.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.87 : 1,647.56 = 721.77 : x
  2. Step 2: Convert to fraction form
    1,193.87/1,647.56 = 721.77/x
  3. Step 3: Cross multiply
    1,193.87x = 1,647.56 × 721.77
  4. Step 4: Simplify right side
    1,193.87x = 1,189,155.01
  5. Step 5: Solve for x
    x = 1,189,155.01/1,193.87
  6. Step 6: Final answer
    x = 996.05

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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.