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Finding the Fourth Proportional to 729.21, 1,094.33 and 318.14

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Solution

The fourth proportional to 729.21, 1,094.33 and 318.14 is: 477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.21 : 1,094.33 = 318.14 : x
  2. Step 2: Convert to fraction form
    729.21/1,094.33 = 318.14/x
  3. Step 3: Cross multiply
    729.21x = 1,094.33 × 318.14
  4. Step 4: Simplify right side
    729.21x = 348,143.08
  5. Step 5: Solve for x
    x = 348,143.08/729.21
  6. Step 6: Final answer
    x = 477.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.