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Finding the Fourth Proportional to 943.23, 1,414.07 and 456.03

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Solution

The fourth proportional to 943.23, 1,414.07 and 456.03 is: 683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.23 : 1,414.07 = 456.03 : x
  2. Step 2: Convert to fraction form
    943.23/1,414.07 = 456.03/x
  3. Step 3: Cross multiply
    943.23x = 1,414.07 × 456.03
  4. Step 4: Simplify right side
    943.23x = 644,856.06
  5. Step 5: Solve for x
    x = 644,856.06/943.23
  6. Step 6: Final answer
    x = 683.67

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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.