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Finding the Fourth Proportional to 803.99, 1,206.72 and 496.44

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Solution

The fourth proportional to 803.99, 1,206.72 and 496.44 is: 745.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.99 : 1,206.72 = 496.44 : x
  2. Step 2: Convert to fraction form
    803.99/1,206.72 = 496.44/x
  3. Step 3: Cross multiply
    803.99x = 1,206.72 × 496.44
  4. Step 4: Simplify right side
    803.99x = 599,064.08
  5. Step 5: Solve for x
    x = 599,064.08/803.99
  6. Step 6: Final answer
    x = 745.12

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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.