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Finding the Fourth Proportional to 865.05, 1,298.22 and 698.67

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Solution

The fourth proportional to 865.05, 1,298.22 and 698.67 is: 1,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.05 : 1,298.22 = 698.67 : x
  2. Step 2: Convert to fraction form
    865.05/1,298.22 = 698.67/x
  3. Step 3: Cross multiply
    865.05x = 1,298.22 × 698.67
  4. Step 4: Simplify right side
    865.05x = 907,027.37
  5. Step 5: Solve for x
    x = 907,027.37/865.05
  6. Step 6: Final answer
    x = 1,048.53

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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.