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Finding the Fourth Proportional to 771.74, 1,160.12 and 619.34

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Solution

The fourth proportional to 771.74, 1,160.12 and 619.34 is: 931.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.74 : 1,160.12 = 619.34 : x
  2. Step 2: Convert to fraction form
    771.74/1,160.12 = 619.34/x
  3. Step 3: Cross multiply
    771.74x = 1,160.12 × 619.34
  4. Step 4: Simplify right side
    771.74x = 718,500.98
  5. Step 5: Solve for x
    x = 718,500.98/771.74
  6. Step 6: Final answer
    x = 931.02

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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.