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Finding the Fourth Proportional to 771.30, 1,154.86 and 722.62

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Solution

The fourth proportional to 771.30, 1,154.86 and 722.62 is: 1,081.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.30 : 1,154.86 = 722.62 : x
  2. Step 2: Convert to fraction form
    771.30/1,154.86 = 722.62/x
  3. Step 3: Cross multiply
    771.30x = 1,154.86 × 722.62
  4. Step 4: Simplify right side
    771.30x = 834,524.57
  5. Step 5: Solve for x
    x = 834,524.57/771.30
  6. Step 6: Final answer
    x = 1,081.98

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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.