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Finding the Fourth Proportional to 1,177, 1,765.60 and 311.31

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Solution

The fourth proportional to 1,177, 1,765.60 and 311.31 is: 466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177 : 1,765.60 = 311.31 : x
  2. Step 2: Convert to fraction form
    1,177/1,765.60 = 311.31/x
  3. Step 3: Cross multiply
    1,177x = 1,765.60 × 311.31
  4. Step 4: Simplify right side
    1,177x = 549,648.94
  5. Step 5: Solve for x
    x = 549,648.94/1,177
  6. Step 6: Final answer
    x = 466.99

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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.