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Finding the Fourth Proportional to 761.27, 1,141.91 and 213.45

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Solution

The fourth proportional to 761.27, 1,141.91 and 213.45 is: 320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.27 : 1,141.91 = 213.45 : x
  2. Step 2: Convert to fraction form
    761.27/1,141.91 = 213.45/x
  3. Step 3: Cross multiply
    761.27x = 1,141.91 × 213.45
  4. Step 4: Simplify right side
    761.27x = 243,745.18
  5. Step 5: Solve for x
    x = 243,745.18/761.27
  6. Step 6: Final answer
    x = 320.18

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