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Finding the Fourth Proportional to 728.27, 1,004.86 and 433.48

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Solution

The fourth proportional to 728.27, 1,004.86 and 433.48 is: 598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.27 : 1,004.86 = 433.48 : x
  2. Step 2: Convert to fraction form
    728.27/1,004.86 = 433.48/x
  3. Step 3: Cross multiply
    728.27x = 1,004.86 × 433.48
  4. Step 4: Simplify right side
    728.27x = 435,585.63
  5. Step 5: Solve for x
    x = 435,585.63/728.27
  6. Step 6: Final answer
    x = 598.11

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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.