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Finding the Fourth Proportional to 772.36, 1,065.85 and 418.28

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Solution

The fourth proportional to 772.36, 1,065.85 and 418.28 is: 577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.36 : 1,065.85 = 418.28 : x
  2. Step 2: Convert to fraction form
    772.36/1,065.85 = 418.28/x
  3. Step 3: Cross multiply
    772.36x = 1,065.85 × 418.28
  4. Step 4: Simplify right side
    772.36x = 445,821.65
  5. Step 5: Solve for x
    x = 445,821.65/772.36
  6. Step 6: Final answer
    x = 577.22

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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.