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Finding the Fourth Proportional to 775.94, 1,164.03 and 313.68

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Solution

The fourth proportional to 775.94, 1,164.03 and 313.68 is: 470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.94 : 1,164.03 = 313.68 : x
  2. Step 2: Convert to fraction form
    775.94/1,164.03 = 313.68/x
  3. Step 3: Cross multiply
    775.94x = 1,164.03 × 313.68
  4. Step 4: Simplify right side
    775.94x = 365,132.93
  5. Step 5: Solve for x
    x = 365,132.93/775.94
  6. Step 6: Final answer
    x = 470.57

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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.