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Finding the Fourth Proportional to 1,538, 2,307.02 and 512

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Solution

The fourth proportional to 1,538, 2,307.02 and 512 is: 768.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538 : 2,307.02 = 512 : x
  2. Step 2: Convert to fraction form
    1,538/2,307.02 = 512/x
  3. Step 3: Cross multiply
    1,538x = 2,307.02 × 512
  4. Step 4: Simplify right side
    1,538x = 1,181,194.24
  5. Step 5: Solve for x
    x = 1,181,194.24/1,538
  6. Step 6: Final answer
    x = 768.01

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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.