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Finding the Fourth Proportional to 729.80, 1,095.02 and 383.05

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Solution

The fourth proportional to 729.80, 1,095.02 and 383.05 is: 574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.80 : 1,095.02 = 383.05 : x
  2. Step 2: Convert to fraction form
    729.80/1,095.02 = 383.05/x
  3. Step 3: Cross multiply
    729.80x = 1,095.02 × 383.05
  4. Step 4: Simplify right side
    729.80x = 419,447.41
  5. Step 5: Solve for x
    x = 419,447.41/729.80
  6. Step 6: Final answer
    x = 574.74

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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.