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Finding the Fourth Proportional to 749.15, 1,033.78 and 413.03

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Solution

The fourth proportional to 749.15, 1,033.78 and 413.03 is: 569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.15 : 1,033.78 = 413.03 : x
  2. Step 2: Convert to fraction form
    749.15/1,033.78 = 413.03/x
  3. Step 3: Cross multiply
    749.15x = 1,033.78 × 413.03
  4. Step 4: Simplify right side
    749.15x = 426,974.92
  5. Step 5: Solve for x
    x = 426,974.92/749.15
  6. Step 6: Final answer
    x = 569.95

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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.