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Finding the Fourth Proportional to 761.09, 1,141.62 and 213.26

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Solution

The fourth proportional to 761.09, 1,141.62 and 213.26 is: 319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.09 : 1,141.62 = 213.26 : x
  2. Step 2: Convert to fraction form
    761.09/1,141.62 = 213.26/x
  3. Step 3: Cross multiply
    761.09x = 1,141.62 × 213.26
  4. Step 4: Simplify right side
    761.09x = 243,464.74
  5. Step 5: Solve for x
    x = 243,464.74/761.09
  6. Step 6: Final answer
    x = 319.89

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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.