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Finding the Fourth Proportional to 776.34, 1,163.69 and 313.93

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Solution

The fourth proportional to 776.34, 1,163.69 and 313.93 is: 470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.34 : 1,163.69 = 313.93 : x
  2. Step 2: Convert to fraction form
    776.34/1,163.69 = 313.93/x
  3. Step 3: Cross multiply
    776.34x = 1,163.69 × 313.93
  4. Step 4: Simplify right side
    776.34x = 365,315.67
  5. Step 5: Solve for x
    x = 365,315.67/776.34
  6. Step 6: Final answer
    x = 470.56

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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.