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Finding the Fourth Proportional to 940.41, 1,409.93 and 452.44

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Solution

The fourth proportional to 940.41, 1,409.93 and 452.44 is: 678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.41 : 1,409.93 = 452.44 : x
  2. Step 2: Convert to fraction form
    940.41/1,409.93 = 452.44/x
  3. Step 3: Cross multiply
    940.41x = 1,409.93 × 452.44
  4. Step 4: Simplify right side
    940.41x = 637,903.27
  5. Step 5: Solve for x
    x = 637,903.27/940.41
  6. Step 6: Final answer
    x = 678.32

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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.