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Finding the Fourth Proportional to 749.72, 1,034.61 and 413.61

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Solution

The fourth proportional to 749.72, 1,034.61 and 413.61 is: 570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.72 : 1,034.61 = 413.61 : x
  2. Step 2: Convert to fraction form
    749.72/1,034.61 = 413.61/x
  3. Step 3: Cross multiply
    749.72x = 1,034.61 × 413.61
  4. Step 4: Simplify right side
    749.72x = 427,928.86
  5. Step 5: Solve for x
    x = 427,928.86/749.72
  6. Step 6: Final answer
    x = 570.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.