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Finding the Fourth Proportional to 1,024.64, 1,413.82 and 582.38

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Solution

The fourth proportional to 1,024.64, 1,413.82 and 582.38 is: 803.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.64 : 1,413.82 = 582.38 : x
  2. Step 2: Convert to fraction form
    1,024.64/1,413.82 = 582.38/x
  3. Step 3: Cross multiply
    1,024.64x = 1,413.82 × 582.38
  4. Step 4: Simplify right side
    1,024.64x = 823,380.49
  5. Step 5: Solve for x
    x = 823,380.49/1,024.64
  6. Step 6: Final answer
    x = 803.58

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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.