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Finding the Fourth Proportional to 698.99, 1,048.49 and 212.05

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Solution

The fourth proportional to 698.99, 1,048.49 and 212.05 is: 318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.99 : 1,048.49 = 212.05 : x
  2. Step 2: Convert to fraction form
    698.99/1,048.49 = 212.05/x
  3. Step 3: Cross multiply
    698.99x = 1,048.49 × 212.05
  4. Step 4: Simplify right side
    698.99x = 222,327.06
  5. Step 5: Solve for x
    x = 222,327.06/698.99
  6. Step 6: Final answer
    x = 318.07

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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.