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Finding the Fourth Proportional to 728.44, 1,005.01 and 413.71

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Solution

The fourth proportional to 728.44, 1,005.01 and 413.71 is: 570.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.44 : 1,005.01 = 413.71 : x
  2. Step 2: Convert to fraction form
    728.44/1,005.01 = 413.71/x
  3. Step 3: Cross multiply
    728.44x = 1,005.01 × 413.71
  4. Step 4: Simplify right side
    728.44x = 415,779.14
  5. Step 5: Solve for x
    x = 415,779.14/728.44
  6. Step 6: Final answer
    x = 570.78

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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.