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Finding the Fourth Proportional to 1,023.98, 1,413.26 and 582.02

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Solution

The fourth proportional to 1,023.98, 1,413.26 and 582.02 is: 803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.98 : 1,413.26 = 582.02 : x
  2. Step 2: Convert to fraction form
    1,023.98/1,413.26 = 582.02/x
  3. Step 3: Cross multiply
    1,023.98x = 1,413.26 × 582.02
  4. Step 4: Simplify right side
    1,023.98x = 822,542.68
  5. Step 5: Solve for x
    x = 822,542.68/1,023.98
  6. Step 6: Final answer
    x = 803.28

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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.