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Finding the Fourth Proportional to 729.69, 1,094.54 and 364.11

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Solution

The fourth proportional to 729.69, 1,094.54 and 364.11 is: 546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.69 : 1,094.54 = 364.11 : x
  2. Step 2: Convert to fraction form
    729.69/1,094.54 = 364.11/x
  3. Step 3: Cross multiply
    729.69x = 1,094.54 × 364.11
  4. Step 4: Simplify right side
    729.69x = 398,531.14
  5. Step 5: Solve for x
    x = 398,531.14/729.69
  6. Step 6: Final answer
    x = 546.17

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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.