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Finding the Fourth Proportional to 1,185.54, 1,635.58 and 811.87

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Solution

The fourth proportional to 1,185.54, 1,635.58 and 811.87 is: 1,120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.54 : 1,635.58 = 811.87 : x
  2. Step 2: Convert to fraction form
    1,185.54/1,635.58 = 811.87/x
  3. Step 3: Cross multiply
    1,185.54x = 1,635.58 × 811.87
  4. Step 4: Simplify right side
    1,185.54x = 1,327,878.33
  5. Step 5: Solve for x
    x = 1,327,878.33/1,185.54
  6. Step 6: Final answer
    x = 1,120.06

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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.