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Finding the Fourth Proportional to 1,385.25, 2,076.93 and 768.57

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Solution

The fourth proportional to 1,385.25, 2,076.93 and 768.57 is: 1,152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.25 : 2,076.93 = 768.57 : x
  2. Step 2: Convert to fraction form
    1,385.25/2,076.93 = 768.57/x
  3. Step 3: Cross multiply
    1,385.25x = 2,076.93 × 768.57
  4. Step 4: Simplify right side
    1,385.25x = 1,596,266.09
  5. Step 5: Solve for x
    x = 1,596,266.09/1,385.25
  6. Step 6: Final answer
    x = 1,152.33

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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.