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Finding the Fourth Proportional to 1,548.68, 2,323.26 and 768.69

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Solution

The fourth proportional to 1,548.68, 2,323.26 and 768.69 is: 1,153.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.68 : 2,323.26 = 768.69 : x
  2. Step 2: Convert to fraction form
    1,548.68/2,323.26 = 768.69/x
  3. Step 3: Cross multiply
    1,548.68x = 2,323.26 × 768.69
  4. Step 4: Simplify right side
    1,548.68x = 1,785,866.73
  5. Step 5: Solve for x
    x = 1,785,866.73/1,548.68
  6. Step 6: Final answer
    x = 1,153.16

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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.