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Finding the Fourth Proportional to 855.34, 1,181.01 and 841.72

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Solution

The fourth proportional to 855.34, 1,181.01 and 841.72 is: 1,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.34 : 1,181.01 = 841.72 : x
  2. Step 2: Convert to fraction form
    855.34/1,181.01 = 841.72/x
  3. Step 3: Cross multiply
    855.34x = 1,181.01 × 841.72
  4. Step 4: Simplify right side
    855.34x = 994,076.78
  5. Step 5: Solve for x
    x = 994,076.78/855.34
  6. Step 6: Final answer
    x = 1,162.20

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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.