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Finding the Fourth Proportional to 761.28, 1,141.90 and 213.49

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Solution

The fourth proportional to 761.28, 1,141.90 and 213.49 is: 320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.28 : 1,141.90 = 213.49 : x
  2. Step 2: Convert to fraction form
    761.28/1,141.90 = 213.49/x
  3. Step 3: Cross multiply
    761.28x = 1,141.90 × 213.49
  4. Step 4: Simplify right side
    761.28x = 243,784.23
  5. Step 5: Solve for x
    x = 243,784.23/761.28
  6. Step 6: Final answer
    x = 320.23

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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.