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Finding the Fourth Proportional to 813.09, 1,219.64 and 650.01

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Solution

The fourth proportional to 813.09, 1,219.64 and 650.01 is: 975.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.09 : 1,219.64 = 650.01 : x
  2. Step 2: Convert to fraction form
    813.09/1,219.64 = 650.01/x
  3. Step 3: Cross multiply
    813.09x = 1,219.64 × 650.01
  4. Step 4: Simplify right side
    813.09x = 792,778.20
  5. Step 5: Solve for x
    x = 792,778.20/813.09
  6. Step 6: Final answer
    x = 975.02

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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.