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Finding the Fourth Proportional to 1,198.85, 1,654.32 and 780.00

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Solution

The fourth proportional to 1,198.85, 1,654.32 and 780.00 is: 1,076.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.85 : 1,654.32 = 780.00 : x
  2. Step 2: Convert to fraction form
    1,198.85/1,654.32 = 780.00/x
  3. Step 3: Cross multiply
    1,198.85x = 1,654.32 × 780.00
  4. Step 4: Simplify right side
    1,198.85x = 1,290,380.28
  5. Step 5: Solve for x
    x = 1,290,380.28/1,198.85
  6. Step 6: Final answer
    x = 1,076.35

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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.