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Finding the Fourth Proportional to 852.15, 1,277.41 and 461.56

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Solution

The fourth proportional to 852.15, 1,277.41 and 461.56 is: 691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.15 : 1,277.41 = 461.56 : x
  2. Step 2: Convert to fraction form
    852.15/1,277.41 = 461.56/x
  3. Step 3: Cross multiply
    852.15x = 1,277.41 × 461.56
  4. Step 4: Simplify right side
    852.15x = 589,601.36
  5. Step 5: Solve for x
    x = 589,601.36/852.15
  6. Step 6: Final answer
    x = 691.90

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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.