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Finding the Fourth Proportional to 693.01, 1,040.01 and 419.23

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Solution

The fourth proportional to 693.01, 1,040.01 and 419.23 is: 629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.01 : 1,040.01 = 419.23 : x
  2. Step 2: Convert to fraction form
    693.01/1,040.01 = 419.23/x
  3. Step 3: Cross multiply
    693.01x = 1,040.01 × 419.23
  4. Step 4: Simplify right side
    693.01x = 436,003.39
  5. Step 5: Solve for x
    x = 436,003.39/693.01
  6. Step 6: Final answer
    x = 629.14

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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.