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Finding the Fourth Proportional to 1,014.83, 1,522.36 and 284.42

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Solution

The fourth proportional to 1,014.83, 1,522.36 and 284.42 is: 426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.83 : 1,522.36 = 284.42 : x
  2. Step 2: Convert to fraction form
    1,014.83/1,522.36 = 284.42/x
  3. Step 3: Cross multiply
    1,014.83x = 1,522.36 × 284.42
  4. Step 4: Simplify right side
    1,014.83x = 432,994.73
  5. Step 5: Solve for x
    x = 432,994.73/1,014.83
  6. Step 6: Final answer
    x = 426.67

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Why These Related Problems?

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