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Finding the Fourth Proportional to 1,264.22, 1,896.33 and 494.72

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Solution

The fourth proportional to 1,264.22, 1,896.33 and 494.72 is: 742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.22 : 1,896.33 = 494.72 : x
  2. Step 2: Convert to fraction form
    1,264.22/1,896.33 = 494.72/x
  3. Step 3: Cross multiply
    1,264.22x = 1,896.33 × 494.72
  4. Step 4: Simplify right side
    1,264.22x = 938,149.08
  5. Step 5: Solve for x
    x = 938,149.08/1,264.22
  6. Step 6: Final answer
    x = 742.08

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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.