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Finding the Fourth Proportional to 763.26, 1,053.30 and 413.94

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Solution

The fourth proportional to 763.26, 1,053.30 and 413.94 is: 571.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.26 : 1,053.30 = 413.94 : x
  2. Step 2: Convert to fraction form
    763.26/1,053.30 = 413.94/x
  3. Step 3: Cross multiply
    763.26x = 1,053.30 × 413.94
  4. Step 4: Simplify right side
    763.26x = 436,003.00
  5. Step 5: Solve for x
    x = 436,003.00/763.26
  6. Step 6: Final answer
    x = 571.24

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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.