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Finding the Fourth Proportional to 761.72, 1,142.46 and 241.70

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Solution

The fourth proportional to 761.72, 1,142.46 and 241.70 is: 362.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.72 : 1,142.46 = 241.70 : x
  2. Step 2: Convert to fraction form
    761.72/1,142.46 = 241.70/x
  3. Step 3: Cross multiply
    761.72x = 1,142.46 × 241.70
  4. Step 4: Simplify right side
    761.72x = 276,126.87
  5. Step 5: Solve for x
    x = 276,126.87/761.72
  6. Step 6: Final answer
    x = 362.51

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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.