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Finding the Fourth Proportional to 776.23, 1,164.04 and 313.89

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Solution

The fourth proportional to 776.23, 1,164.04 and 313.89 is: 470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.23 : 1,164.04 = 313.89 : x
  2. Step 2: Convert to fraction form
    776.23/1,164.04 = 313.89/x
  3. Step 3: Cross multiply
    776.23x = 1,164.04 × 313.89
  4. Step 4: Simplify right side
    776.23x = 365,375.37
  5. Step 5: Solve for x
    x = 365,375.37/776.23
  6. Step 6: Final answer
    x = 470.71

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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.