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Finding the Fourth Proportional to 940.24, 1,297.74 and 591.40

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Solution

The fourth proportional to 940.24, 1,297.74 and 591.40 is: 816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.24 : 1,297.74 = 591.40 : x
  2. Step 2: Convert to fraction form
    940.24/1,297.74 = 591.40/x
  3. Step 3: Cross multiply
    940.24x = 1,297.74 × 591.40
  4. Step 4: Simplify right side
    940.24x = 767,483.44
  5. Step 5: Solve for x
    x = 767,483.44/940.24
  6. Step 6: Final answer
    x = 816.26

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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.