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Finding the Fourth Proportional to 763.98, 1,145.62 and 243.88

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Solution

The fourth proportional to 763.98, 1,145.62 and 243.88 is: 365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.98 : 1,145.62 = 243.88 : x
  2. Step 2: Convert to fraction form
    763.98/1,145.62 = 243.88/x
  3. Step 3: Cross multiply
    763.98x = 1,145.62 × 243.88
  4. Step 4: Simplify right side
    763.98x = 279,393.81
  5. Step 5: Solve for x
    x = 279,393.81/763.98
  6. Step 6: Final answer
    x = 365.71

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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.