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Finding the Fourth Proportional to 772.84, 1,157.64 and 719.56

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Solution

The fourth proportional to 772.84, 1,157.64 and 719.56 is: 1,077.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.84 : 1,157.64 = 719.56 : x
  2. Step 2: Convert to fraction form
    772.84/1,157.64 = 719.56/x
  3. Step 3: Cross multiply
    772.84x = 1,157.64 × 719.56
  4. Step 4: Simplify right side
    772.84x = 832,991.44
  5. Step 5: Solve for x
    x = 832,991.44/772.84
  6. Step 6: Final answer
    x = 1,077.83

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Why These Related Problems?

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