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Finding the Fourth Proportional to 1,208.94, 1,806.50 and 860.37

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Solution

The fourth proportional to 1,208.94, 1,806.50 and 860.37 is: 1,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.94 : 1,806.50 = 860.37 : x
  2. Step 2: Convert to fraction form
    1,208.94/1,806.50 = 860.37/x
  3. Step 3: Cross multiply
    1,208.94x = 1,806.50 × 860.37
  4. Step 4: Simplify right side
    1,208.94x = 1,554,254.10
  5. Step 5: Solve for x
    x = 1,554,254.10/1,208.94
  6. Step 6: Final answer
    x = 1,285.63

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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.