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Finding the Fourth Proportional to 1,199.25, 1,795.56 and 905.88

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Solution

The fourth proportional to 1,199.25, 1,795.56 and 905.88 is: 1,356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.25 : 1,795.56 = 905.88 : x
  2. Step 2: Convert to fraction form
    1,199.25/1,795.56 = 905.88/x
  3. Step 3: Cross multiply
    1,199.25x = 1,795.56 × 905.88
  4. Step 4: Simplify right side
    1,199.25x = 1,626,561.89
  5. Step 5: Solve for x
    x = 1,626,561.89/1,199.25
  6. Step 6: Final answer
    x = 1,356.32

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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.