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Finding the Fourth Proportional to 775.70, 1,164.01 and 313.41

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Solution

The fourth proportional to 775.70, 1,164.01 and 313.41 is: 470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.70 : 1,164.01 = 313.41 : x
  2. Step 2: Convert to fraction form
    775.70/1,164.01 = 313.41/x
  3. Step 3: Cross multiply
    775.70x = 1,164.01 × 313.41
  4. Step 4: Simplify right side
    775.70x = 364,815.28
  5. Step 5: Solve for x
    x = 364,815.28/775.70
  6. Step 6: Final answer
    x = 470.30

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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.