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Finding the Fourth Proportional to 762.49, 1,052.23 and 413.17

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Solution

The fourth proportional to 762.49, 1,052.23 and 413.17 is: 570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.49 : 1,052.23 = 413.17 : x
  2. Step 2: Convert to fraction form
    762.49/1,052.23 = 413.17/x
  3. Step 3: Cross multiply
    762.49x = 1,052.23 × 413.17
  4. Step 4: Simplify right side
    762.49x = 434,749.87
  5. Step 5: Solve for x
    x = 434,749.87/762.49
  6. Step 6: Final answer
    x = 570.17

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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.