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Finding the Fourth Proportional to 874.73, 1,309.77 and 770.94

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Solution

The fourth proportional to 874.73, 1,309.77 and 770.94 is: 1,154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.73 : 1,309.77 = 770.94 : x
  2. Step 2: Convert to fraction form
    874.73/1,309.77 = 770.94/x
  3. Step 3: Cross multiply
    874.73x = 1,309.77 × 770.94
  4. Step 4: Simplify right side
    874.73x = 1,009,754.08
  5. Step 5: Solve for x
    x = 1,009,754.08/874.73
  6. Step 6: Final answer
    x = 1,154.36

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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.