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Finding the Fourth Proportional to 1,193.02, 1,646.38 and 695.96

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Solution

The fourth proportional to 1,193.02, 1,646.38 and 695.96 is: 960.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.02 : 1,646.38 = 695.96 : x
  2. Step 2: Convert to fraction form
    1,193.02/1,646.38 = 695.96/x
  3. Step 3: Cross multiply
    1,193.02x = 1,646.38 × 695.96
  4. Step 4: Simplify right side
    1,193.02x = 1,145,814.62
  5. Step 5: Solve for x
    x = 1,145,814.62/1,193.02
  6. Step 6: Final answer
    x = 960.43

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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.