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Finding the Fourth Proportional to 1,193.14, 1,646.38 and 695.87

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Solution

The fourth proportional to 1,193.14, 1,646.38 and 695.87 is: 960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.14 : 1,646.38 = 695.87 : x
  2. Step 2: Convert to fraction form
    1,193.14/1,646.38 = 695.87/x
  3. Step 3: Cross multiply
    1,193.14x = 1,646.38 × 695.87
  4. Step 4: Simplify right side
    1,193.14x = 1,145,666.45
  5. Step 5: Solve for x
    x = 1,145,666.45/1,193.14
  6. Step 6: Final answer
    x = 960.21

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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.