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Finding the Fourth Proportional to 729.57, 1,094.36 and 242.61

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Solution

The fourth proportional to 729.57, 1,094.36 and 242.61 is: 363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.57 : 1,094.36 = 242.61 : x
  2. Step 2: Convert to fraction form
    729.57/1,094.36 = 242.61/x
  3. Step 3: Cross multiply
    729.57x = 1,094.36 × 242.61
  4. Step 4: Simplify right side
    729.57x = 265,497.36
  5. Step 5: Solve for x
    x = 265,497.36/729.57
  6. Step 6: Final answer
    x = 363.91

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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.