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Finding the Fourth Proportional to 1,257.94, 1,884.16 and 769.51

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Solution

The fourth proportional to 1,257.94, 1,884.16 and 769.51 is: 1,152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.94 : 1,884.16 = 769.51 : x
  2. Step 2: Convert to fraction form
    1,257.94/1,884.16 = 769.51/x
  3. Step 3: Cross multiply
    1,257.94x = 1,884.16 × 769.51
  4. Step 4: Simplify right side
    1,257.94x = 1,449,879.96
  5. Step 5: Solve for x
    x = 1,449,879.96/1,257.94
  6. Step 6: Final answer
    x = 1,152.58

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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.