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Finding the Fourth Proportional to 1,314.50, 1,972.82 and 665.42

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Solution

The fourth proportional to 1,314.50, 1,972.82 and 665.42 is: 998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.50 : 1,972.82 = 665.42 : x
  2. Step 2: Convert to fraction form
    1,314.50/1,972.82 = 665.42/x
  3. Step 3: Cross multiply
    1,314.50x = 1,972.82 × 665.42
  4. Step 4: Simplify right side
    1,314.50x = 1,312,745.68
  5. Step 5: Solve for x
    x = 1,312,745.68/1,314.50
  6. Step 6: Final answer
    x = 998.67

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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.