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Finding the Fourth Proportional to 729.75, 1,094.19 and 365.04

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Solution

The fourth proportional to 729.75, 1,094.19 and 365.04 is: 547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.75 : 1,094.19 = 365.04 : x
  2. Step 2: Convert to fraction form
    729.75/1,094.19 = 365.04/x
  3. Step 3: Cross multiply
    729.75x = 1,094.19 × 365.04
  4. Step 4: Simplify right side
    729.75x = 399,423.12
  5. Step 5: Solve for x
    x = 399,423.12/729.75
  6. Step 6: Final answer
    x = 547.34

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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.