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Finding the Fourth Proportional to 1,174.82, 1,755.83 and 928.78

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Solution

The fourth proportional to 1,174.82, 1,755.83 and 928.78 is: 1,388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.82 : 1,755.83 = 928.78 : x
  2. Step 2: Convert to fraction form
    1,174.82/1,755.83 = 928.78/x
  3. Step 3: Cross multiply
    1,174.82x = 1,755.83 × 928.78
  4. Step 4: Simplify right side
    1,174.82x = 1,630,777.72
  5. Step 5: Solve for x
    x = 1,630,777.72/1,174.82
  6. Step 6: Final answer
    x = 1,388.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.