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Finding the Fourth Proportional to 854.00, 1,179.09 and 654.47

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Solution

The fourth proportional to 854.00, 1,179.09 and 654.47 is: 903.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.00 : 1,179.09 = 654.47 : x
  2. Step 2: Convert to fraction form
    854.00/1,179.09 = 654.47/x
  3. Step 3: Cross multiply
    854.00x = 1,179.09 × 654.47
  4. Step 4: Simplify right side
    854.00x = 771,679.03
  5. Step 5: Solve for x
    x = 771,679.03/854.00
  6. Step 6: Final answer
    x = 903.61

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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.