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Finding the Fourth Proportional to 763.94, 1,145.90 and 186.82

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Solution

The fourth proportional to 763.94, 1,145.90 and 186.82 is: 280.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.94 : 1,145.90 = 186.82 : x
  2. Step 2: Convert to fraction form
    763.94/1,145.90 = 186.82/x
  3. Step 3: Cross multiply
    763.94x = 1,145.90 × 186.82
  4. Step 4: Simplify right side
    763.94x = 214,077.04
  5. Step 5: Solve for x
    x = 214,077.04/763.94
  6. Step 6: Final answer
    x = 280.23

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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.