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Finding the Fourth Proportional to 1,277.87, 1,762.80 and 857.67

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Solution

The fourth proportional to 1,277.87, 1,762.80 and 857.67 is: 1,183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.87 : 1,762.80 = 857.67 : x
  2. Step 2: Convert to fraction form
    1,277.87/1,762.80 = 857.67/x
  3. Step 3: Cross multiply
    1,277.87x = 1,762.80 × 857.67
  4. Step 4: Simplify right side
    1,277.87x = 1,511,900.68
  5. Step 5: Solve for x
    x = 1,511,900.68/1,277.87
  6. Step 6: Final answer
    x = 1,183.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.