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Finding the Fourth Proportional to 1,264, 1,896.28 and 534.20

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Solution

The fourth proportional to 1,264, 1,896.28 and 534.20 is: 801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264 : 1,896.28 = 534.20 : x
  2. Step 2: Convert to fraction form
    1,264/1,896.28 = 534.20/x
  3. Step 3: Cross multiply
    1,264x = 1,896.28 × 534.20
  4. Step 4: Simplify right side
    1,264x = 1,012,992.78
  5. Step 5: Solve for x
    x = 1,012,992.78/1,264
  6. Step 6: Final answer
    x = 801.42

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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.