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Finding the Fourth Proportional to 744.07, 1,115.88 and 311.13

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Solution

The fourth proportional to 744.07, 1,115.88 and 311.13 is: 466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.07 : 1,115.88 = 311.13 : x
  2. Step 2: Convert to fraction form
    744.07/1,115.88 = 311.13/x
  3. Step 3: Cross multiply
    744.07x = 1,115.88 × 311.13
  4. Step 4: Simplify right side
    744.07x = 347,183.74
  5. Step 5: Solve for x
    x = 347,183.74/744.07
  6. Step 6: Final answer
    x = 466.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.