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Finding the Fourth Proportional to 776.89, 1,072.13 and 422.84

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Solution

The fourth proportional to 776.89, 1,072.13 and 422.84 is: 583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.89 : 1,072.13 = 422.84 : x
  2. Step 2: Convert to fraction form
    776.89/1,072.13 = 422.84/x
  3. Step 3: Cross multiply
    776.89x = 1,072.13 × 422.84
  4. Step 4: Simplify right side
    776.89x = 453,334.09
  5. Step 5: Solve for x
    x = 453,334.09/776.89
  6. Step 6: Final answer
    x = 583.52

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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.