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Finding the Fourth Proportional to 698.97, 1,048.32 and 323.63

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Solution

The fourth proportional to 698.97, 1,048.32 and 323.63 is: 485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.97 : 1,048.32 = 323.63 : x
  2. Step 2: Convert to fraction form
    698.97/1,048.32 = 323.63/x
  3. Step 3: Cross multiply
    698.97x = 1,048.32 × 323.63
  4. Step 4: Simplify right side
    698.97x = 339,270.42
  5. Step 5: Solve for x
    x = 339,270.42/698.97
  6. Step 6: Final answer
    x = 485.39

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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.