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Finding the Fourth Proportional to 1,024.20, 1,413.36 and 604.62

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Solution

The fourth proportional to 1,024.20, 1,413.36 and 604.62 is: 834.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.20 : 1,413.36 = 604.62 : x
  2. Step 2: Convert to fraction form
    1,024.20/1,413.36 = 604.62/x
  3. Step 3: Cross multiply
    1,024.20x = 1,413.36 × 604.62
  4. Step 4: Simplify right side
    1,024.20x = 854,545.72
  5. Step 5: Solve for x
    x = 854,545.72/1,024.20
  6. Step 6: Final answer
    x = 834.35

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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.