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Finding the Fourth Proportional to 1,076.89, 1,616.82 and 557.32

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Solution

The fourth proportional to 1,076.89, 1,616.82 and 557.32 is: 836.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.89 : 1,616.82 = 557.32 : x
  2. Step 2: Convert to fraction form
    1,076.89/1,616.82 = 557.32/x
  3. Step 3: Cross multiply
    1,076.89x = 1,616.82 × 557.32
  4. Step 4: Simplify right side
    1,076.89x = 901,086.12
  5. Step 5: Solve for x
    x = 901,086.12/1,076.89
  6. Step 6: Final answer
    x = 836.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.