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Finding the Fourth Proportional to 729.55, 1,094.33 and 209.62

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Solution

The fourth proportional to 729.55, 1,094.33 and 209.62 is: 314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.55 : 1,094.33 = 209.62 : x
  2. Step 2: Convert to fraction form
    729.55/1,094.33 = 209.62/x
  3. Step 3: Cross multiply
    729.55x = 1,094.33 × 209.62
  4. Step 4: Simplify right side
    729.55x = 229,393.45
  5. Step 5: Solve for x
    x = 229,393.45/729.55
  6. Step 6: Final answer
    x = 314.43

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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.