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Finding the Fourth Proportional to 728.03, 1,004.71 and 396.47

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Solution

The fourth proportional to 728.03, 1,004.71 and 396.47 is: 547.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.03 : 1,004.71 = 396.47 : x
  2. Step 2: Convert to fraction form
    728.03/1,004.71 = 396.47/x
  3. Step 3: Cross multiply
    728.03x = 1,004.71 × 396.47
  4. Step 4: Simplify right side
    728.03x = 398,332.35
  5. Step 5: Solve for x
    x = 398,332.35/728.03
  6. Step 6: Final answer
    x = 547.14

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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.