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Finding the Fourth Proportional to 760.97, 1,141.41 and 213.23

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Solution

The fourth proportional to 760.97, 1,141.41 and 213.23 is: 319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.97 : 1,141.41 = 213.23 : x
  2. Step 2: Convert to fraction form
    760.97/1,141.41 = 213.23/x
  3. Step 3: Cross multiply
    760.97x = 1,141.41 × 213.23
  4. Step 4: Simplify right side
    760.97x = 243,382.85
  5. Step 5: Solve for x
    x = 243,382.85/760.97
  6. Step 6: Final answer
    x = 319.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.