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Finding the Fourth Proportional to 1,365.14, 2,047.97 and 780.80

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Solution

The fourth proportional to 1,365.14, 2,047.97 and 780.80 is: 1,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.14 : 2,047.97 = 780.80 : x
  2. Step 2: Convert to fraction form
    1,365.14/2,047.97 = 780.80/x
  3. Step 3: Cross multiply
    1,365.14x = 2,047.97 × 780.80
  4. Step 4: Simplify right side
    1,365.14x = 1,599,054.98
  5. Step 5: Solve for x
    x = 1,599,054.98/1,365.14
  6. Step 6: Final answer
    x = 1,171.35

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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.