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Finding the Fourth Proportional to 1,171.00, 1,755.71 and 577.94

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Solution

The fourth proportional to 1,171.00, 1,755.71 and 577.94 is: 866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.00 : 1,755.71 = 577.94 : x
  2. Step 2: Convert to fraction form
    1,171.00/1,755.71 = 577.94/x
  3. Step 3: Cross multiply
    1,171.00x = 1,755.71 × 577.94
  4. Step 4: Simplify right side
    1,171.00x = 1,014,692.15
  5. Step 5: Solve for x
    x = 1,014,692.15/1,171.00
  6. Step 6: Final answer
    x = 866.52

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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.