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Finding the Fourth Proportional to 761.54, 1,142.32 and 274.56

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Solution

The fourth proportional to 761.54, 1,142.32 and 274.56 is: 411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.54 : 1,142.32 = 274.56 : x
  2. Step 2: Convert to fraction form
    761.54/1,142.32 = 274.56/x
  3. Step 3: Cross multiply
    761.54x = 1,142.32 × 274.56
  4. Step 4: Simplify right side
    761.54x = 313,635.38
  5. Step 5: Solve for x
    x = 313,635.38/761.54
  6. Step 6: Final answer
    x = 411.84

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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.