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Finding the Fourth Proportional to 729.94, 1,095.15 and 537.94

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Solution

The fourth proportional to 729.94, 1,095.15 and 537.94 is: 807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.94 : 1,095.15 = 537.94 : x
  2. Step 2: Convert to fraction form
    729.94/1,095.15 = 537.94/x
  3. Step 3: Cross multiply
    729.94x = 1,095.15 × 537.94
  4. Step 4: Simplify right side
    729.94x = 589,124.99
  5. Step 5: Solve for x
    x = 589,124.99/729.94
  6. Step 6: Final answer
    x = 807.09

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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.