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Finding the Fourth Proportional to 761.38, 1,142.03 and 213.55

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Solution

The fourth proportional to 761.38, 1,142.03 and 213.55 is: 320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.38 : 1,142.03 = 213.55 : x
  2. Step 2: Convert to fraction form
    761.38/1,142.03 = 213.55/x
  3. Step 3: Cross multiply
    761.38x = 1,142.03 × 213.55
  4. Step 4: Simplify right side
    761.38x = 243,878.19
  5. Step 5: Solve for x
    x = 243,878.19/761.38
  6. Step 6: Final answer
    x = 320.31

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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.