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Finding the Fourth Proportional to 727.89, 1,004.52 and 429.33

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Solution

The fourth proportional to 727.89, 1,004.52 and 429.33 is: 592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.89 : 1,004.52 = 429.33 : x
  2. Step 2: Convert to fraction form
    727.89/1,004.52 = 429.33/x
  3. Step 3: Cross multiply
    727.89x = 1,004.52 × 429.33
  4. Step 4: Simplify right side
    727.89x = 431,270.57
  5. Step 5: Solve for x
    x = 431,270.57/727.89
  6. Step 6: Final answer
    x = 592.49

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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.