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Finding the Fourth Proportional to 729.82, 1,094.46 and 242.74

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Solution

The fourth proportional to 729.82, 1,094.46 and 242.74 is: 364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.82 : 1,094.46 = 242.74 : x
  2. Step 2: Convert to fraction form
    729.82/1,094.46 = 242.74/x
  3. Step 3: Cross multiply
    729.82x = 1,094.46 × 242.74
  4. Step 4: Simplify right side
    729.82x = 265,669.22
  5. Step 5: Solve for x
    x = 265,669.22/729.82
  6. Step 6: Final answer
    x = 364.02

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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.