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Finding the Fourth Proportional to 1,015.19, 1,522.76 and 321.77

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Solution

The fourth proportional to 1,015.19, 1,522.76 and 321.77 is: 482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.19 : 1,522.76 = 321.77 : x
  2. Step 2: Convert to fraction form
    1,015.19/1,522.76 = 321.77/x
  3. Step 3: Cross multiply
    1,015.19x = 1,522.76 × 321.77
  4. Step 4: Simplify right side
    1,015.19x = 489,971.68
  5. Step 5: Solve for x
    x = 489,971.68/1,015.19
  6. Step 6: Final answer
    x = 482.64

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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.