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Finding the Fourth Proportional to 865.62, 1,193.66 and 741.69

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Solution

The fourth proportional to 865.62, 1,193.66 and 741.69 is: 1,022.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.62 : 1,193.66 = 741.69 : x
  2. Step 2: Convert to fraction form
    865.62/1,193.66 = 741.69/x
  3. Step 3: Cross multiply
    865.62x = 1,193.66 × 741.69
  4. Step 4: Simplify right side
    865.62x = 885,321.98
  5. Step 5: Solve for x
    x = 885,321.98/865.62
  6. Step 6: Final answer
    x = 1,022.76

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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.