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Finding the Fourth Proportional to 852.44, 1,277.05 and 486.11

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Solution

The fourth proportional to 852.44, 1,277.05 and 486.11 is: 728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.44 : 1,277.05 = 486.11 : x
  2. Step 2: Convert to fraction form
    852.44/1,277.05 = 486.11/x
  3. Step 3: Cross multiply
    852.44x = 1,277.05 × 486.11
  4. Step 4: Simplify right side
    852.44x = 620,788.75
  5. Step 5: Solve for x
    x = 620,788.75/852.44
  6. Step 6: Final answer
    x = 728.25

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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.