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Finding the Fourth Proportional to 729.62, 1,094.58 and 242.66

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Solution

The fourth proportional to 729.62, 1,094.58 and 242.66 is: 364.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.62 : 1,094.58 = 242.66 : x
  2. Step 2: Convert to fraction form
    729.62/1,094.58 = 242.66/x
  3. Step 3: Cross multiply
    729.62x = 1,094.58 × 242.66
  4. Step 4: Simplify right side
    729.62x = 265,610.78
  5. Step 5: Solve for x
    x = 265,610.78/729.62
  6. Step 6: Final answer
    x = 364.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.