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Finding the Fourth Proportional to 693.99, 1,040.99 and 309.51

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Solution

The fourth proportional to 693.99, 1,040.99 and 309.51 is: 464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.99 : 1,040.99 = 309.51 : x
  2. Step 2: Convert to fraction form
    693.99/1,040.99 = 309.51/x
  3. Step 3: Cross multiply
    693.99x = 1,040.99 × 309.51
  4. Step 4: Simplify right side
    693.99x = 322,195.27
  5. Step 5: Solve for x
    x = 322,195.27/693.99
  6. Step 6: Final answer
    x = 464.27

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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.