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Finding the Fourth Proportional to 762.54, 1,052.30 and 413.23

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Solution

The fourth proportional to 762.54, 1,052.30 and 413.23 is: 570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.54 : 1,052.30 = 413.23 : x
  2. Step 2: Convert to fraction form
    762.54/1,052.30 = 413.23/x
  3. Step 3: Cross multiply
    762.54x = 1,052.30 × 413.23
  4. Step 4: Simplify right side
    762.54x = 434,839.93
  5. Step 5: Solve for x
    x = 434,839.93/762.54
  6. Step 6: Final answer
    x = 570.25

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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.