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Finding the Fourth Proportional to 1,023.88, 1,413.20 and 582.02

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Solution

The fourth proportional to 1,023.88, 1,413.20 and 582.02 is: 803.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.88 : 1,413.20 = 582.02 : x
  2. Step 2: Convert to fraction form
    1,023.88/1,413.20 = 582.02/x
  3. Step 3: Cross multiply
    1,023.88x = 1,413.20 × 582.02
  4. Step 4: Simplify right side
    1,023.88x = 822,507.75
  5. Step 5: Solve for x
    x = 822,507.75/1,023.88
  6. Step 6: Final answer
    x = 803.33

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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.