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Finding the Fourth Proportional to 728.14, 1,005.06 and 495.40

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Solution

The fourth proportional to 728.14, 1,005.06 and 495.40 is: 683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.14 : 1,005.06 = 495.40 : x
  2. Step 2: Convert to fraction form
    728.14/1,005.06 = 495.40/x
  3. Step 3: Cross multiply
    728.14x = 1,005.06 × 495.40
  4. Step 4: Simplify right side
    728.14x = 497,906.72
  5. Step 5: Solve for x
    x = 497,906.72/728.14
  6. Step 6: Final answer
    x = 683.81

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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.