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Finding the Fourth Proportional to 1,548.57, 2,321.64 and 768.02

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Solution

The fourth proportional to 1,548.57, 2,321.64 and 768.02 is: 1,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.57 : 2,321.64 = 768.02 : x
  2. Step 2: Convert to fraction form
    1,548.57/2,321.64 = 768.02/x
  3. Step 3: Cross multiply
    1,548.57x = 2,321.64 × 768.02
  4. Step 4: Simplify right side
    1,548.57x = 1,783,071.76
  5. Step 5: Solve for x
    x = 1,783,071.76/1,548.57
  6. Step 6: Final answer
    x = 1,151.43

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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.