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Finding the Fourth Proportional to 600.82, 828.56 and 522.08

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Solution

The fourth proportional to 600.82, 828.56 and 522.08 is: 719.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.82 : 828.56 = 522.08 : x
  2. Step 2: Convert to fraction form
    600.82/828.56 = 522.08/x
  3. Step 3: Cross multiply
    600.82x = 828.56 × 522.08
  4. Step 4: Simplify right side
    600.82x = 432,574.87
  5. Step 5: Solve for x
    x = 432,574.87/600.82
  6. Step 6: Final answer
    x = 719.98

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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.