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Finding the Fourth Proportional to 940.03, 1,297.32 and 520.42

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Solution

The fourth proportional to 940.03, 1,297.32 and 520.42 is: 718.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.03 : 1,297.32 = 520.42 : x
  2. Step 2: Convert to fraction form
    940.03/1,297.32 = 520.42/x
  3. Step 3: Cross multiply
    940.03x = 1,297.32 × 520.42
  4. Step 4: Simplify right side
    940.03x = 675,144.79
  5. Step 5: Solve for x
    x = 675,144.79/940.03
  6. Step 6: Final answer
    x = 718.22

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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.