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Finding the Fourth Proportional to 1,014.87, 1,522.36 and 997.62

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Solution

The fourth proportional to 1,014.87, 1,522.36 and 997.62 is: 1,496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.87 : 1,522.36 = 997.62 : x
  2. Step 2: Convert to fraction form
    1,014.87/1,522.36 = 997.62/x
  3. Step 3: Cross multiply
    1,014.87x = 1,522.36 × 997.62
  4. Step 4: Simplify right side
    1,014.87x = 1,518,732.32
  5. Step 5: Solve for x
    x = 1,518,732.32/1,014.87
  6. Step 6: Final answer
    x = 1,496.47

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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.