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Finding the Fourth Proportional to 1,208.80, 1,667.20 and 788.68

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Solution

The fourth proportional to 1,208.80, 1,667.20 and 788.68 is: 1,087.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.80 : 1,667.20 = 788.68 : x
  2. Step 2: Convert to fraction form
    1,208.80/1,667.20 = 788.68/x
  3. Step 3: Cross multiply
    1,208.80x = 1,667.20 × 788.68
  4. Step 4: Simplify right side
    1,208.80x = 1,314,887.30
  5. Step 5: Solve for x
    x = 1,314,887.30/1,208.80
  6. Step 6: Final answer
    x = 1,087.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.