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Finding the Fourth Proportional to 763.76, 1,145.64 and 243.84

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Solution

The fourth proportional to 763.76, 1,145.64 and 243.84 is: 365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.76 : 1,145.64 = 243.84 : x
  2. Step 2: Convert to fraction form
    763.76/1,145.64 = 243.84/x
  3. Step 3: Cross multiply
    763.76x = 1,145.64 × 243.84
  4. Step 4: Simplify right side
    763.76x = 279,352.86
  5. Step 5: Solve for x
    x = 279,352.86/763.76
  6. Step 6: Final answer
    x = 365.76

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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.