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Finding the Fourth Proportional to 940.30, 1,409.67 and 837.80

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Solution

The fourth proportional to 940.30, 1,409.67 and 837.80 is: 1,256.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.30 : 1,409.67 = 837.80 : x
  2. Step 2: Convert to fraction form
    940.30/1,409.67 = 837.80/x
  3. Step 3: Cross multiply
    940.30x = 1,409.67 × 837.80
  4. Step 4: Simplify right side
    940.30x = 1,181,019.76
  5. Step 5: Solve for x
    x = 1,181,019.76/940.30
  6. Step 6: Final answer
    x = 1,256.01

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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.