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Finding the Fourth Proportional to 1,264.28, 1,896.54 and 484.52

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Solution

The fourth proportional to 1,264.28, 1,896.54 and 484.52 is: 726.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.28 : 1,896.54 = 484.52 : x
  2. Step 2: Convert to fraction form
    1,264.28/1,896.54 = 484.52/x
  3. Step 3: Cross multiply
    1,264.28x = 1,896.54 × 484.52
  4. Step 4: Simplify right side
    1,264.28x = 918,911.56
  5. Step 5: Solve for x
    x = 918,911.56/1,264.28
  6. Step 6: Final answer
    x = 726.83

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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.