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Finding the Fourth Proportional to 776.04, 1,163.80 and 313.70

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Solution

The fourth proportional to 776.04, 1,163.80 and 313.70 is: 470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.04 : 1,163.80 = 313.70 : x
  2. Step 2: Convert to fraction form
    776.04/1,163.80 = 313.70/x
  3. Step 3: Cross multiply
    776.04x = 1,163.80 × 313.70
  4. Step 4: Simplify right side
    776.04x = 365,084.06
  5. Step 5: Solve for x
    x = 365,084.06/776.04
  6. Step 6: Final answer
    x = 470.44

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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.