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Finding the Fourth Proportional to 891.94, 1,338.09 and 307.03

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Solution

The fourth proportional to 891.94, 1,338.09 and 307.03 is: 460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.94 : 1,338.09 = 307.03 : x
  2. Step 2: Convert to fraction form
    891.94/1,338.09 = 307.03/x
  3. Step 3: Cross multiply
    891.94x = 1,338.09 × 307.03
  4. Step 4: Simplify right side
    891.94x = 410,833.77
  5. Step 5: Solve for x
    x = 410,833.77/891.94
  6. Step 6: Final answer
    x = 460.61

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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.