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Finding the Fourth Proportional to 741.26, 1,110.26 and 466.67

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Solution

The fourth proportional to 741.26, 1,110.26 and 466.67 is: 698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.26 : 1,110.26 = 466.67 : x
  2. Step 2: Convert to fraction form
    741.26/1,110.26 = 466.67/x
  3. Step 3: Cross multiply
    741.26x = 1,110.26 × 466.67
  4. Step 4: Simplify right side
    741.26x = 518,120.65
  5. Step 5: Solve for x
    x = 518,120.65/741.26
  6. Step 6: Final answer
    x = 698.98

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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.