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Finding the Fourth Proportional to 719.14, 1,077.78 and 512.56

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Solution

The fourth proportional to 719.14, 1,077.78 and 512.56 is: 768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.14 : 1,077.78 = 512.56 : x
  2. Step 2: Convert to fraction form
    719.14/1,077.78 = 512.56/x
  3. Step 3: Cross multiply
    719.14x = 1,077.78 × 512.56
  4. Step 4: Simplify right side
    719.14x = 552,426.92
  5. Step 5: Solve for x
    x = 552,426.92/719.14
  6. Step 6: Final answer
    x = 768.18

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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.