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Finding the Fourth Proportional to 1,422.13, 1,962.49 and 832.75

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Solution

The fourth proportional to 1,422.13, 1,962.49 and 832.75 is: 1,149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.13 : 1,962.49 = 832.75 : x
  2. Step 2: Convert to fraction form
    1,422.13/1,962.49 = 832.75/x
  3. Step 3: Cross multiply
    1,422.13x = 1,962.49 × 832.75
  4. Step 4: Simplify right side
    1,422.13x = 1,634,263.55
  5. Step 5: Solve for x
    x = 1,634,263.55/1,422.13
  6. Step 6: Final answer
    x = 1,149.17

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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.