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Finding the Fourth Proportional to 852.36, 1,277.34 and 505.78

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Solution

The fourth proportional to 852.36, 1,277.34 and 505.78 is: 757.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.36 : 1,277.34 = 505.78 : x
  2. Step 2: Convert to fraction form
    852.36/1,277.34 = 505.78/x
  3. Step 3: Cross multiply
    852.36x = 1,277.34 × 505.78
  4. Step 4: Simplify right side
    852.36x = 646,053.03
  5. Step 5: Solve for x
    x = 646,053.03/852.36
  6. Step 6: Final answer
    x = 757.96

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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.