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Finding the Fourth Proportional to 763.28, 1,053.30 and 413.96

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Solution

The fourth proportional to 763.28, 1,053.30 and 413.96 is: 571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.28 : 1,053.30 = 413.96 : x
  2. Step 2: Convert to fraction form
    763.28/1,053.30 = 413.96/x
  3. Step 3: Cross multiply
    763.28x = 1,053.30 × 413.96
  4. Step 4: Simplify right side
    763.28x = 436,018.80
  5. Step 5: Solve for x
    x = 436,018.80/763.28
  6. Step 6: Final answer
    x = 571.25

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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.