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Finding the Fourth Proportional to 820.40, 1,228.70 and 696.67

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Solution

The fourth proportional to 820.40, 1,228.70 and 696.67 is: 1,043.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.40 : 1,228.70 = 696.67 : x
  2. Step 2: Convert to fraction form
    820.40/1,228.70 = 696.67/x
  3. Step 3: Cross multiply
    820.40x = 1,228.70 × 696.67
  4. Step 4: Simplify right side
    820.40x = 855,997.10
  5. Step 5: Solve for x
    x = 855,997.10/820.40
  6. Step 6: Final answer
    x = 1,043.40

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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.