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Finding the Fourth Proportional to 1,183.76, 1,776.43 and 414.26

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Solution

The fourth proportional to 1,183.76, 1,776.43 and 414.26 is: 621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.76 : 1,776.43 = 414.26 : x
  2. Step 2: Convert to fraction form
    1,183.76/1,776.43 = 414.26/x
  3. Step 3: Cross multiply
    1,183.76x = 1,776.43 × 414.26
  4. Step 4: Simplify right side
    1,183.76x = 735,903.89
  5. Step 5: Solve for x
    x = 735,903.89/1,183.76
  6. Step 6: Final answer
    x = 621.67

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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.