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Finding the Fourth Proportional to 729.50, 1,094.21 and 296.65

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Solution

The fourth proportional to 729.50, 1,094.21 and 296.65 is: 444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.50 : 1,094.21 = 296.65 : x
  2. Step 2: Convert to fraction form
    729.50/1,094.21 = 296.65/x
  3. Step 3: Cross multiply
    729.50x = 1,094.21 × 296.65
  4. Step 4: Simplify right side
    729.50x = 324,593.18
  5. Step 5: Solve for x
    x = 324,593.18/729.50
  6. Step 6: Final answer
    x = 444.95

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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.