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Finding the Fourth Proportional to 727.97, 1,004.94 and 518.58

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Solution

The fourth proportional to 727.97, 1,004.94 and 518.58 is: 715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.97 : 1,004.94 = 518.58 : x
  2. Step 2: Convert to fraction form
    727.97/1,004.94 = 518.58/x
  3. Step 3: Cross multiply
    727.97x = 1,004.94 × 518.58
  4. Step 4: Simplify right side
    727.97x = 521,141.79
  5. Step 5: Solve for x
    x = 521,141.79/727.97
  6. Step 6: Final answer
    x = 715.89

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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.