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Finding the Fourth Proportional to 1,024.12, 1,413.29 and 582.03

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Solution

The fourth proportional to 1,024.12, 1,413.29 and 582.03 is: 803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.12 : 1,413.29 = 582.03 : x
  2. Step 2: Convert to fraction form
    1,024.12/1,413.29 = 582.03/x
  3. Step 3: Cross multiply
    1,024.12x = 1,413.29 × 582.03
  4. Step 4: Simplify right side
    1,024.12x = 822,577.18
  5. Step 5: Solve for x
    x = 822,577.18/1,024.12
  6. Step 6: Final answer
    x = 803.20

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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.