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Finding the Fourth Proportional to 608.82, 914.43 and 522.12

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Solution

The fourth proportional to 608.82, 914.43 and 522.12 is: 784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.82 : 914.43 = 522.12 : x
  2. Step 2: Convert to fraction form
    608.82/914.43 = 522.12/x
  3. Step 3: Cross multiply
    608.82x = 914.43 × 522.12
  4. Step 4: Simplify right side
    608.82x = 477,442.19
  5. Step 5: Solve for x
    x = 477,442.19/608.82
  6. Step 6: Final answer
    x = 784.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.