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Finding the Fourth Proportional to 650.94, 976.46 and 188.83

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Solution

The fourth proportional to 650.94, 976.46 and 188.83 is: 283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.94 : 976.46 = 188.83 : x
  2. Step 2: Convert to fraction form
    650.94/976.46 = 188.83/x
  3. Step 3: Cross multiply
    650.94x = 976.46 × 188.83
  4. Step 4: Simplify right side
    650.94x = 184,385.22
  5. Step 5: Solve for x
    x = 184,385.22/650.94
  6. Step 6: Final answer
    x = 283.26

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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.