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Finding the Fourth Proportional to 775.99, 1,164.02 and 446.78

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Solution

The fourth proportional to 775.99, 1,164.02 and 446.78 is: 670.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.99 : 1,164.02 = 446.78 : x
  2. Step 2: Convert to fraction form
    775.99/1,164.02 = 446.78/x
  3. Step 3: Cross multiply
    775.99x = 1,164.02 × 446.78
  4. Step 4: Simplify right side
    775.99x = 520,060.86
  5. Step 5: Solve for x
    x = 520,060.86/775.99
  6. Step 6: Final answer
    x = 670.19

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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.