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Finding the Fourth Proportional to 1,235.75, 1,714.07 and 1,191.42

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Solution

The fourth proportional to 1,235.75, 1,714.07 and 1,191.42 is: 1,652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.75 : 1,714.07 = 1,191.42 : x
  2. Step 2: Convert to fraction form
    1,235.75/1,714.07 = 1,191.42/x
  3. Step 3: Cross multiply
    1,235.75x = 1,714.07 × 1,191.42
  4. Step 4: Simplify right side
    1,235.75x = 2,042,171.32
  5. Step 5: Solve for x
    x = 2,042,171.32/1,235.75
  6. Step 6: Final answer
    x = 1,652.58

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.