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Finding the Fourth Proportional to 761.59, 1,142.25 and 274.65

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Solution

The fourth proportional to 761.59, 1,142.25 and 274.65 is: 411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.59 : 1,142.25 = 274.65 : x
  2. Step 2: Convert to fraction form
    761.59/1,142.25 = 274.65/x
  3. Step 3: Cross multiply
    761.59x = 1,142.25 × 274.65
  4. Step 4: Simplify right side
    761.59x = 313,718.96
  5. Step 5: Solve for x
    x = 313,718.96/761.59
  6. Step 6: Final answer
    x = 411.93

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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.