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Finding the Fourth Proportional to 1,264.33, 1,896.77 and 484.34

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Solution

The fourth proportional to 1,264.33, 1,896.77 and 484.34 is: 726.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.33 : 1,896.77 = 484.34 : x
  2. Step 2: Convert to fraction form
    1,264.33/1,896.77 = 484.34/x
  3. Step 3: Cross multiply
    1,264.33x = 1,896.77 × 484.34
  4. Step 4: Simplify right side
    1,264.33x = 918,674.22
  5. Step 5: Solve for x
    x = 918,674.22/1,264.33
  6. Step 6: Final answer
    x = 726.61

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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.