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Finding the Fourth Proportional to 1,014.89, 1,522.55 and 321.76

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Solution

The fourth proportional to 1,014.89, 1,522.55 and 321.76 is: 482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.89 : 1,522.55 = 321.76 : x
  2. Step 2: Convert to fraction form
    1,014.89/1,522.55 = 321.76/x
  3. Step 3: Cross multiply
    1,014.89x = 1,522.55 × 321.76
  4. Step 4: Simplify right side
    1,014.89x = 489,895.69
  5. Step 5: Solve for x
    x = 489,895.69/1,014.89
  6. Step 6: Final answer
    x = 482.71

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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.