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Finding the Fourth Proportional to 775.99, 1,164.21 and 451.63

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Solution

The fourth proportional to 775.99, 1,164.21 and 451.63 is: 677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.99 : 1,164.21 = 451.63 : x
  2. Step 2: Convert to fraction form
    775.99/1,164.21 = 451.63/x
  3. Step 3: Cross multiply
    775.99x = 1,164.21 × 451.63
  4. Step 4: Simplify right side
    775.99x = 525,792.16
  5. Step 5: Solve for x
    x = 525,792.16/775.99
  6. Step 6: Final answer
    x = 677.58

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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.