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Finding the Fourth Proportional to 728.06, 1,004.54 and 433.22

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Solution

The fourth proportional to 728.06, 1,004.54 and 433.22 is: 597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.06 : 1,004.54 = 433.22 : x
  2. Step 2: Convert to fraction form
    728.06/1,004.54 = 433.22/x
  3. Step 3: Cross multiply
    728.06x = 1,004.54 × 433.22
  4. Step 4: Simplify right side
    728.06x = 435,179.63
  5. Step 5: Solve for x
    x = 435,179.63/728.06
  6. Step 6: Final answer
    x = 597.73

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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.