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Finding the Fourth Proportional to 1,193.03, 1,646.39 and 695.97

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Solution

The fourth proportional to 1,193.03, 1,646.39 and 695.97 is: 960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.03 : 1,646.39 = 695.97 : x
  2. Step 2: Convert to fraction form
    1,193.03/1,646.39 = 695.97/x
  3. Step 3: Cross multiply
    1,193.03x = 1,646.39 × 695.97
  4. Step 4: Simplify right side
    1,193.03x = 1,145,834.57
  5. Step 5: Solve for x
    x = 1,145,834.57/1,193.03
  6. Step 6: Final answer
    x = 960.44

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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.