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Finding the Fourth Proportional to 1,024.79, 1,413.91 and 605.18

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Solution

The fourth proportional to 1,024.79, 1,413.91 and 605.18 is: 834.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.79 : 1,413.91 = 605.18 : x
  2. Step 2: Convert to fraction form
    1,024.79/1,413.91 = 605.18/x
  3. Step 3: Cross multiply
    1,024.79x = 1,413.91 × 605.18
  4. Step 4: Simplify right side
    1,024.79x = 855,672.08
  5. Step 5: Solve for x
    x = 855,672.08/1,024.79
  6. Step 6: Final answer
    x = 834.97

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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.