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Finding the Fourth Proportional to 1,016.34, 1,522.22 and 833.38

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Solution

The fourth proportional to 1,016.34, 1,522.22 and 833.38 is: 1,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.34 : 1,522.22 = 833.38 : x
  2. Step 2: Convert to fraction form
    1,016.34/1,522.22 = 833.38/x
  3. Step 3: Cross multiply
    1,016.34x = 1,522.22 × 833.38
  4. Step 4: Simplify right side
    1,016.34x = 1,268,587.70
  5. Step 5: Solve for x
    x = 1,268,587.70/1,016.34
  6. Step 6: Final answer
    x = 1,248.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.