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Finding the Fourth Proportional to 1,393.25, 1,922.68 and 763.80

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Solution

The fourth proportional to 1,393.25, 1,922.68 and 763.80 is: 1,054.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.25 : 1,922.68 = 763.80 : x
  2. Step 2: Convert to fraction form
    1,393.25/1,922.68 = 763.80/x
  3. Step 3: Cross multiply
    1,393.25x = 1,922.68 × 763.80
  4. Step 4: Simplify right side
    1,393.25x = 1,468,548.65
  5. Step 5: Solve for x
    x = 1,468,548.65/1,393.25
  6. Step 6: Final answer
    x = 1,054.04

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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.