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Finding the Fourth Proportional to 940.19, 1,297.43 and 520.57

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Solution

The fourth proportional to 940.19, 1,297.43 and 520.57 is: 718.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.19 : 1,297.43 = 520.57 : x
  2. Step 2: Convert to fraction form
    940.19/1,297.43 = 520.57/x
  3. Step 3: Cross multiply
    940.19x = 1,297.43 × 520.57
  4. Step 4: Simplify right side
    940.19x = 675,403.14
  5. Step 5: Solve for x
    x = 675,403.14/940.19
  6. Step 6: Final answer
    x = 718.37

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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.