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Finding the Fourth Proportional to 727.82, 1,004.34 and 433.08

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Solution

The fourth proportional to 727.82, 1,004.34 and 433.08 is: 597.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.82 : 1,004.34 = 433.08 : x
  2. Step 2: Convert to fraction form
    727.82/1,004.34 = 433.08/x
  3. Step 3: Cross multiply
    727.82x = 1,004.34 × 433.08
  4. Step 4: Simplify right side
    727.82x = 434,959.57
  5. Step 5: Solve for x
    x = 434,959.57/727.82
  6. Step 6: Final answer
    x = 597.62

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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.