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Finding the Fourth Proportional to 776.14, 1,164.66 and 313.84

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Solution

The fourth proportional to 776.14, 1,164.66 and 313.84 is: 470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.14 : 1,164.66 = 313.84 : x
  2. Step 2: Convert to fraction form
    776.14/1,164.66 = 313.84/x
  3. Step 3: Cross multiply
    776.14x = 1,164.66 × 313.84
  4. Step 4: Simplify right side
    776.14x = 365,516.89
  5. Step 5: Solve for x
    x = 365,516.89/776.14
  6. Step 6: Final answer
    x = 470.94

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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.