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Finding the Fourth Proportional to 721.99, 1,083.23 and 524.51

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Solution

The fourth proportional to 721.99, 1,083.23 and 524.51 is: 786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.99 : 1,083.23 = 524.51 : x
  2. Step 2: Convert to fraction form
    721.99/1,083.23 = 524.51/x
  3. Step 3: Cross multiply
    721.99x = 1,083.23 × 524.51
  4. Step 4: Simplify right side
    721.99x = 568,164.47
  5. Step 5: Solve for x
    x = 568,164.47/721.99
  6. Step 6: Final answer
    x = 786.95

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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.