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Finding the Fourth Proportional to 1,016.15, 1,522.80 and 582.39

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Solution

The fourth proportional to 1,016.15, 1,522.80 and 582.39 is: 872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.15 : 1,522.80 = 582.39 : x
  2. Step 2: Convert to fraction form
    1,016.15/1,522.80 = 582.39/x
  3. Step 3: Cross multiply
    1,016.15x = 1,522.80 × 582.39
  4. Step 4: Simplify right side
    1,016.15x = 886,863.49
  5. Step 5: Solve for x
    x = 886,863.49/1,016.15
  6. Step 6: Final answer
    x = 872.77

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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.