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Finding the Fourth Proportional to 784.21, 1,172.05 and 620.19

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Solution

The fourth proportional to 784.21, 1,172.05 and 620.19 is: 926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.21 : 1,172.05 = 620.19 : x
  2. Step 2: Convert to fraction form
    784.21/1,172.05 = 620.19/x
  3. Step 3: Cross multiply
    784.21x = 1,172.05 × 620.19
  4. Step 4: Simplify right side
    784.21x = 726,893.69
  5. Step 5: Solve for x
    x = 726,893.69/784.21
  6. Step 6: Final answer
    x = 926.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.