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Finding the Fourth Proportional to 775.53, 1,164.14 and 313.62

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Solution

The fourth proportional to 775.53, 1,164.14 and 313.62 is: 470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.53 : 1,164.14 = 313.62 : x
  2. Step 2: Convert to fraction form
    775.53/1,164.14 = 313.62/x
  3. Step 3: Cross multiply
    775.53x = 1,164.14 × 313.62
  4. Step 4: Simplify right side
    775.53x = 365,096.02
  5. Step 5: Solve for x
    x = 365,096.02/775.53
  6. Step 6: Final answer
    x = 470.77

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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.