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Finding the Fourth Proportional to 762.38, 1,052.09 and 413.07

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Solution

The fourth proportional to 762.38, 1,052.09 and 413.07 is: 570.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.38 : 1,052.09 = 413.07 : x
  2. Step 2: Convert to fraction form
    762.38/1,052.09 = 413.07/x
  3. Step 3: Cross multiply
    762.38x = 1,052.09 × 413.07
  4. Step 4: Simplify right side
    762.38x = 434,584.75
  5. Step 5: Solve for x
    x = 434,584.75/762.38
  6. Step 6: Final answer
    x = 570.04

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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.