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Finding the Fourth Proportional to 744.63, 1,116.90 and 311.79

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Solution

The fourth proportional to 744.63, 1,116.90 and 311.79 is: 467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.63 : 1,116.90 = 311.79 : x
  2. Step 2: Convert to fraction form
    744.63/1,116.90 = 311.79/x
  3. Step 3: Cross multiply
    744.63x = 1,116.90 × 311.79
  4. Step 4: Simplify right side
    744.63x = 348,238.25
  5. Step 5: Solve for x
    x = 348,238.25/744.63
  6. Step 6: Final answer
    x = 467.67

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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.