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Finding the Fourth Proportional to 1,164.23, 1,604.47 and 791.22

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Solution

The fourth proportional to 1,164.23, 1,604.47 and 791.22 is: 1,090.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.23 : 1,604.47 = 791.22 : x
  2. Step 2: Convert to fraction form
    1,164.23/1,604.47 = 791.22/x
  3. Step 3: Cross multiply
    1,164.23x = 1,604.47 × 791.22
  4. Step 4: Simplify right side
    1,164.23x = 1,269,488.75
  5. Step 5: Solve for x
    x = 1,269,488.75/1,164.23
  6. Step 6: Final answer
    x = 1,090.41

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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.