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Finding the Fourth Proportional to 1,392.92, 1,922.25 and 763.44

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Solution

The fourth proportional to 1,392.92, 1,922.25 and 763.44 is: 1,053.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.92 : 1,922.25 = 763.44 : x
  2. Step 2: Convert to fraction form
    1,392.92/1,922.25 = 763.44/x
  3. Step 3: Cross multiply
    1,392.92x = 1,922.25 × 763.44
  4. Step 4: Simplify right side
    1,392.92x = 1,467,512.93
  5. Step 5: Solve for x
    x = 1,467,512.93/1,392.92
  6. Step 6: Final answer
    x = 1,053.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.