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Finding the Fourth Proportional to 1,422.33, 1,962.93 and 792.90

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Solution

The fourth proportional to 1,422.33, 1,962.93 and 792.90 is: 1,094.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.33 : 1,962.93 = 792.90 : x
  2. Step 2: Convert to fraction form
    1,422.33/1,962.93 = 792.90/x
  3. Step 3: Cross multiply
    1,422.33x = 1,962.93 × 792.90
  4. Step 4: Simplify right side
    1,422.33x = 1,556,407.20
  5. Step 5: Solve for x
    x = 1,556,407.20/1,422.33
  6. Step 6: Final answer
    x = 1,094.27

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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.