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Finding the Fourth Proportional to 1,208.77, 1,804.37 and 1,118.59

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Solution

The fourth proportional to 1,208.77, 1,804.37 and 1,118.59 is: 1,669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.77 : 1,804.37 = 1,118.59 : x
  2. Step 2: Convert to fraction form
    1,208.77/1,804.37 = 1,118.59/x
  3. Step 3: Cross multiply
    1,208.77x = 1,804.37 × 1,118.59
  4. Step 4: Simplify right side
    1,208.77x = 2,018,353.03
  5. Step 5: Solve for x
    x = 2,018,353.03/1,208.77
  6. Step 6: Final answer
    x = 1,669.76

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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.