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Finding the Fourth Proportional to 1,422.15, 1,962.75 and 862.84

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Solution

The fourth proportional to 1,422.15, 1,962.75 and 862.84 is: 1,190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.15 : 1,962.75 = 862.84 : x
  2. Step 2: Convert to fraction form
    1,422.15/1,962.75 = 862.84/x
  3. Step 3: Cross multiply
    1,422.15x = 1,962.75 × 862.84
  4. Step 4: Simplify right side
    1,422.15x = 1,693,539.21
  5. Step 5: Solve for x
    x = 1,693,539.21/1,422.15
  6. Step 6: Final answer
    x = 1,190.83

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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.