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Finding the Fourth Proportional to 1,018.96, 1,522.96 and 936.94

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Solution

The fourth proportional to 1,018.96, 1,522.96 and 936.94 is: 1,400.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.96 : 1,522.96 = 936.94 : x
  2. Step 2: Convert to fraction form
    1,018.96/1,522.96 = 936.94/x
  3. Step 3: Cross multiply
    1,018.96x = 1,522.96 × 936.94
  4. Step 4: Simplify right side
    1,018.96x = 1,426,922.14
  5. Step 5: Solve for x
    x = 1,426,922.14/1,018.96
  6. Step 6: Final answer
    x = 1,400.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.