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Finding the Fourth Proportional to 1,193.14, 1,646.46 and 695.93

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Solution

The fourth proportional to 1,193.14, 1,646.46 and 695.93 is: 960.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.14 : 1,646.46 = 695.93 : x
  2. Step 2: Convert to fraction form
    1,193.14/1,646.46 = 695.93/x
  3. Step 3: Cross multiply
    1,193.14x = 1,646.46 × 695.93
  4. Step 4: Simplify right side
    1,193.14x = 1,145,820.91
  5. Step 5: Solve for x
    x = 1,145,820.91/1,193.14
  6. Step 6: Final answer
    x = 960.34

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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.