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Finding the Fourth Proportional to 729.82, 1,094.76 and 242.86

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Solution

The fourth proportional to 729.82, 1,094.76 and 242.86 is: 364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.82 : 1,094.76 = 242.86 : x
  2. Step 2: Convert to fraction form
    729.82/1,094.76 = 242.86/x
  3. Step 3: Cross multiply
    729.82x = 1,094.76 × 242.86
  4. Step 4: Simplify right side
    729.82x = 265,872.20
  5. Step 5: Solve for x
    x = 265,872.20/729.82
  6. Step 6: Final answer
    x = 364.30

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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.