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Finding the Fourth Proportional to 1,422.27, 1,962.81 and 832.98

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Solution

The fourth proportional to 1,422.27, 1,962.81 and 832.98 is: 1,149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.27 : 1,962.81 = 832.98 : x
  2. Step 2: Convert to fraction form
    1,422.27/1,962.81 = 832.98/x
  3. Step 3: Cross multiply
    1,422.27x = 1,962.81 × 832.98
  4. Step 4: Simplify right side
    1,422.27x = 1,634,981.47
  5. Step 5: Solve for x
    x = 1,634,981.47/1,422.27
  6. Step 6: Final answer
    x = 1,149.56

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