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Finding the Fourth Proportional to 729.59, 1,094.99 and 383.04

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Solution

The fourth proportional to 729.59, 1,094.99 and 383.04 is: 574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.59 : 1,094.99 = 383.04 : x
  2. Step 2: Convert to fraction form
    729.59/1,094.99 = 383.04/x
  3. Step 3: Cross multiply
    729.59x = 1,094.99 × 383.04
  4. Step 4: Simplify right side
    729.59x = 419,423.05
  5. Step 5: Solve for x
    x = 419,423.05/729.59
  6. Step 6: Final answer
    x = 574.88

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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.