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Finding the Fourth Proportional to 729.67, 1,094.25 and 242.59

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Solution

The fourth proportional to 729.67, 1,094.25 and 242.59 is: 363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.67 : 1,094.25 = 242.59 : x
  2. Step 2: Convert to fraction form
    729.67/1,094.25 = 242.59/x
  3. Step 3: Cross multiply
    729.67x = 1,094.25 × 242.59
  4. Step 4: Simplify right side
    729.67x = 265,454.11
  5. Step 5: Solve for x
    x = 265,454.11/729.67
  6. Step 6: Final answer
    x = 363.80

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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.