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Finding the Fourth Proportional to 746.69, 1,120.20 and 259.74

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Solution

The fourth proportional to 746.69, 1,120.20 and 259.74 is: 389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.69 : 1,120.20 = 259.74 : x
  2. Step 2: Convert to fraction form
    746.69/1,120.20 = 259.74/x
  3. Step 3: Cross multiply
    746.69x = 1,120.20 × 259.74
  4. Step 4: Simplify right side
    746.69x = 290,960.75
  5. Step 5: Solve for x
    x = 290,960.75/746.69
  6. Step 6: Final answer
    x = 389.67

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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.