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Finding the Fourth Proportional to 729.61, 1,094.41 and 334.24

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Solution

The fourth proportional to 729.61, 1,094.41 and 334.24 is: 501.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.61 : 1,094.41 = 334.24 : x
  2. Step 2: Convert to fraction form
    729.61/1,094.41 = 334.24/x
  3. Step 3: Cross multiply
    729.61x = 1,094.41 × 334.24
  4. Step 4: Simplify right side
    729.61x = 365,794.82
  5. Step 5: Solve for x
    x = 365,794.82/729.61
  6. Step 6: Final answer
    x = 501.36

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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.