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Finding the Fourth Proportional to 1,191.36, 1,644.09 and 667.39

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Solution

The fourth proportional to 1,191.36, 1,644.09 and 667.39 is: 921.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.36 : 1,644.09 = 667.39 : x
  2. Step 2: Convert to fraction form
    1,191.36/1,644.09 = 667.39/x
  3. Step 3: Cross multiply
    1,191.36x = 1,644.09 × 667.39
  4. Step 4: Simplify right side
    1,191.36x = 1,097,249.23
  5. Step 5: Solve for x
    x = 1,097,249.23/1,191.36
  6. Step 6: Final answer
    x = 921.01

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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.