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Finding the Fourth Proportional to 1,205.60, 1,807.61 and 620.82

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Solution

The fourth proportional to 1,205.60, 1,807.61 and 620.82 is: 930.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.60 : 1,807.61 = 620.82 : x
  2. Step 2: Convert to fraction form
    1,205.60/1,807.61 = 620.82/x
  3. Step 3: Cross multiply
    1,205.60x = 1,807.61 × 620.82
  4. Step 4: Simplify right side
    1,205.60x = 1,122,197.34
  5. Step 5: Solve for x
    x = 1,122,197.34/1,205.60
  6. Step 6: Final answer
    x = 930.82

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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.