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Finding the Fourth Proportional to 761.29, 1,142.00 and 213.47

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Solution

The fourth proportional to 761.29, 1,142.00 and 213.47 is: 320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.29 : 1,142.00 = 213.47 : x
  2. Step 2: Convert to fraction form
    761.29/1,142.00 = 213.47/x
  3. Step 3: Cross multiply
    761.29x = 1,142.00 × 213.47
  4. Step 4: Simplify right side
    761.29x = 243,785.33
  5. Step 5: Solve for x
    x = 243,785.33/761.29
  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.