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Finding the Fourth Proportional to 851.80, 1,276.70 and 842.68

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Solution

The fourth proportional to 851.80, 1,276.70 and 842.68 is: 1,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.80 : 1,276.70 = 842.68 : x
  2. Step 2: Convert to fraction form
    851.80/1,276.70 = 842.68/x
  3. Step 3: Cross multiply
    851.80x = 1,276.70 × 842.68
  4. Step 4: Simplify right side
    851.80x = 1,075,849.56
  5. Step 5: Solve for x
    x = 1,075,849.56/851.80
  6. Step 6: Final answer
    x = 1,263.03

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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.