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Finding the Fourth Proportional to 940.07, 1,297.86 and 591.23

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Solution

The fourth proportional to 940.07, 1,297.86 and 591.23 is: 816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.07 : 1,297.86 = 591.23 : x
  2. Step 2: Convert to fraction form
    940.07/1,297.86 = 591.23/x
  3. Step 3: Cross multiply
    940.07x = 1,297.86 × 591.23
  4. Step 4: Simplify right side
    940.07x = 767,334.80
  5. Step 5: Solve for x
    x = 767,334.80/940.07
  6. Step 6: Final answer
    x = 816.25

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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.