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Finding the Fourth Proportional to 1,171.81, 1,756.32 and 546.27

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Solution

The fourth proportional to 1,171.81, 1,756.32 and 546.27 is: 818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.81 : 1,756.32 = 546.27 : x
  2. Step 2: Convert to fraction form
    1,171.81/1,756.32 = 546.27/x
  3. Step 3: Cross multiply
    1,171.81x = 1,756.32 × 546.27
  4. Step 4: Simplify right side
    1,171.81x = 959,413.41
  5. Step 5: Solve for x
    x = 959,413.41/1,171.81
  6. Step 6: Final answer
    x = 818.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.