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Finding the Fourth Proportional to 940.68, 1,297.62 and 609.12

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Solution

The fourth proportional to 940.68, 1,297.62 and 609.12 is: 840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.68 : 1,297.62 = 609.12 : x
  2. Step 2: Convert to fraction form
    940.68/1,297.62 = 609.12/x
  3. Step 3: Cross multiply
    940.68x = 1,297.62 × 609.12
  4. Step 4: Simplify right side
    940.68x = 790,406.29
  5. Step 5: Solve for x
    x = 790,406.29/940.68
  6. Step 6: Final answer
    x = 840.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.