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Finding the Fourth Proportional to 815.66, 1,223.34 and 774.62

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Solution

The fourth proportional to 815.66, 1,223.34 and 774.62 is: 1,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.66 : 1,223.34 = 774.62 : x
  2. Step 2: Convert to fraction form
    815.66/1,223.34 = 774.62/x
  3. Step 3: Cross multiply
    815.66x = 1,223.34 × 774.62
  4. Step 4: Simplify right side
    815.66x = 947,623.63
  5. Step 5: Solve for x
    x = 947,623.63/815.66
  6. Step 6: Final answer
    x = 1,161.79

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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.