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Finding the Fourth Proportional to 775.74, 1,164.01 and 313.57

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Solution

The fourth proportional to 775.74, 1,164.01 and 313.57 is: 470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.74 : 1,164.01 = 313.57 : x
  2. Step 2: Convert to fraction form
    775.74/1,164.01 = 313.57/x
  3. Step 3: Cross multiply
    775.74x = 1,164.01 × 313.57
  4. Step 4: Simplify right side
    775.74x = 364,998.62
  5. Step 5: Solve for x
    x = 364,998.62/775.74
  6. Step 6: Final answer
    x = 470.52

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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.