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Finding the Fourth Proportional to 729.86, 1,094.12 and 296.72

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Solution

The fourth proportional to 729.86, 1,094.12 and 296.72 is: 444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.86 : 1,094.12 = 296.72 : x
  2. Step 2: Convert to fraction form
    729.86/1,094.12 = 296.72/x
  3. Step 3: Cross multiply
    729.86x = 1,094.12 × 296.72
  4. Step 4: Simplify right side
    729.86x = 324,647.29
  5. Step 5: Solve for x
    x = 324,647.29/729.86
  6. Step 6: Final answer
    x = 444.81

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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.