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Finding the Fourth Proportional to 1,204.99, 1,806.63 and 618.85

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Solution

The fourth proportional to 1,204.99, 1,806.63 and 618.85 is: 927.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.99 : 1,806.63 = 618.85 : x
  2. Step 2: Convert to fraction form
    1,204.99/1,806.63 = 618.85/x
  3. Step 3: Cross multiply
    1,204.99x = 1,806.63 × 618.85
  4. Step 4: Simplify right side
    1,204.99x = 1,118,032.98
  5. Step 5: Solve for x
    x = 1,118,032.98/1,204.99
  6. Step 6: Final answer
    x = 927.84

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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.