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Finding the Fourth Proportional to 1,422.74, 1,963.56 and 833.50

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Solution

The fourth proportional to 1,422.74, 1,963.56 and 833.50 is: 1,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.74 : 1,963.56 = 833.50 : x
  2. Step 2: Convert to fraction form
    1,422.74/1,963.56 = 833.50/x
  3. Step 3: Cross multiply
    1,422.74x = 1,963.56 × 833.50
  4. Step 4: Simplify right side
    1,422.74x = 1,636,627.26
  5. Step 5: Solve for x
    x = 1,636,627.26/1,422.74
  6. Step 6: Final answer
    x = 1,150.33

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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.