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Finding the Fourth Proportional to 741.73, 1,113.00 and 481.67

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Solution

The fourth proportional to 741.73, 1,113.00 and 481.67 is: 722.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.73 : 1,113.00 = 481.67 : x
  2. Step 2: Convert to fraction form
    741.73/1,113.00 = 481.67/x
  3. Step 3: Cross multiply
    741.73x = 1,113.00 × 481.67
  4. Step 4: Simplify right side
    741.73x = 536,099.08
  5. Step 5: Solve for x
    x = 536,099.08/741.73
  6. Step 6: Final answer
    x = 722.77

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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.