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Finding the Fourth Proportional to 776.71, 1,163.04 and 451.90

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Solution

The fourth proportional to 776.71, 1,163.04 and 451.90 is: 676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.71 : 1,163.04 = 451.90 : x
  2. Step 2: Convert to fraction form
    776.71/1,163.04 = 451.90/x
  3. Step 3: Cross multiply
    776.71x = 1,163.04 × 451.90
  4. Step 4: Simplify right side
    776.71x = 525,577.78
  5. Step 5: Solve for x
    x = 525,577.78/776.71
  6. Step 6: Final answer
    x = 676.67

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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.