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Finding the Fourth Proportional to 776.57, 1,072.13 and 511.43

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Solution

The fourth proportional to 776.57, 1,072.13 and 511.43 is: 706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.57 : 1,072.13 = 511.43 : x
  2. Step 2: Convert to fraction form
    776.57/1,072.13 = 511.43/x
  3. Step 3: Cross multiply
    776.57x = 1,072.13 × 511.43
  4. Step 4: Simplify right side
    776.57x = 548,311.53
  5. Step 5: Solve for x
    x = 548,311.53/776.57
  6. Step 6: Final answer
    x = 706.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.