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Finding the Fourth Proportional to 852.10, 1,277.22 and 440.70

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Solution

The fourth proportional to 852.10, 1,277.22 and 440.70 is: 660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.10 : 1,277.22 = 440.70 : x
  2. Step 2: Convert to fraction form
    852.10/1,277.22 = 440.70/x
  3. Step 3: Cross multiply
    852.10x = 1,277.22 × 440.70
  4. Step 4: Simplify right side
    852.10x = 562,870.85
  5. Step 5: Solve for x
    x = 562,870.85/852.10
  6. Step 6: Final answer
    x = 660.57

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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.