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Finding the Fourth Proportional to 761.65, 1,142.46 and 274.42

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Solution

The fourth proportional to 761.65, 1,142.46 and 274.42 is: 411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.65 : 1,142.46 = 274.42 : x
  2. Step 2: Convert to fraction form
    761.65/1,142.46 = 274.42/x
  3. Step 3: Cross multiply
    761.65x = 1,142.46 × 274.42
  4. Step 4: Simplify right side
    761.65x = 313,513.87
  5. Step 5: Solve for x
    x = 313,513.87/761.65
  6. Step 6: Final answer
    x = 411.62

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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.