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Finding the Fourth Proportional to 940.49, 1,297.77 and 520.78

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Solution

The fourth proportional to 940.49, 1,297.77 and 520.78 is: 718.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.49 : 1,297.77 = 520.78 : x
  2. Step 2: Convert to fraction form
    940.49/1,297.77 = 520.78/x
  3. Step 3: Cross multiply
    940.49x = 1,297.77 × 520.78
  4. Step 4: Simplify right side
    940.49x = 675,852.83
  5. Step 5: Solve for x
    x = 675,852.83/940.49
  6. Step 6: Final answer
    x = 718.62

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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.