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Finding the Fourth Proportional to 772.14, 1,065.53 and 422.82

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Solution

The fourth proportional to 772.14, 1,065.53 and 422.82 is: 583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.14 : 1,065.53 = 422.82 : x
  2. Step 2: Convert to fraction form
    772.14/1,065.53 = 422.82/x
  3. Step 3: Cross multiply
    772.14x = 1,065.53 × 422.82
  4. Step 4: Simplify right side
    772.14x = 450,525.28
  5. Step 5: Solve for x
    x = 450,525.28/772.14
  6. Step 6: Final answer
    x = 583.48

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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.