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Finding the Fourth Proportional to 1,024.16, 1,413.42 and 582.20

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Solution

The fourth proportional to 1,024.16, 1,413.42 and 582.20 is: 803.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.16 : 1,413.42 = 582.20 : x
  2. Step 2: Convert to fraction form
    1,024.16/1,413.42 = 582.20/x
  3. Step 3: Cross multiply
    1,024.16x = 1,413.42 × 582.20
  4. Step 4: Simplify right side
    1,024.16x = 822,893.12
  5. Step 5: Solve for x
    x = 822,893.12/1,024.16
  6. Step 6: Final answer
    x = 803.48

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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.