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Finding the Fourth Proportional to 522.83, 779.62 and 518.14

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Solution

The fourth proportional to 522.83, 779.62 and 518.14 is: 772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.83 : 779.62 = 518.14 : x
  2. Step 2: Convert to fraction form
    522.83/779.62 = 518.14/x
  3. Step 3: Cross multiply
    522.83x = 779.62 × 518.14
  4. Step 4: Simplify right side
    522.83x = 403,948.41
  5. Step 5: Solve for x
    x = 403,948.41/522.83
  6. Step 6: Final answer
    x = 772.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.