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Finding the Fourth Proportional to 816.14, 1,223.76 and 451.28

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Solution

The fourth proportional to 816.14, 1,223.76 and 451.28 is: 676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.14 : 1,223.76 = 451.28 : x
  2. Step 2: Convert to fraction form
    816.14/1,223.76 = 451.28/x
  3. Step 3: Cross multiply
    816.14x = 1,223.76 × 451.28
  4. Step 4: Simplify right side
    816.14x = 552,258.41
  5. Step 5: Solve for x
    x = 552,258.41/816.14
  6. Step 6: Final answer
    x = 676.67

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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.