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Finding the Fourth Proportional to 1,256.36, 1,883.57 and 768.83

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Solution

The fourth proportional to 1,256.36, 1,883.57 and 768.83 is: 1,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.36 : 1,883.57 = 768.83 : x
  2. Step 2: Convert to fraction form
    1,256.36/1,883.57 = 768.83/x
  3. Step 3: Cross multiply
    1,256.36x = 1,883.57 × 768.83
  4. Step 4: Simplify right side
    1,256.36x = 1,448,131.86
  5. Step 5: Solve for x
    x = 1,448,131.86/1,256.36
  6. Step 6: Final answer
    x = 1,152.65

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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.