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Finding the Fourth Proportional to 665.42, 998.12 and 522.05

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Solution

The fourth proportional to 665.42, 998.12 and 522.05 is: 783.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.42 : 998.12 = 522.05 : x
  2. Step 2: Convert to fraction form
    665.42/998.12 = 522.05/x
  3. Step 3: Cross multiply
    665.42x = 998.12 × 522.05
  4. Step 4: Simplify right side
    665.42x = 521,064.86
  5. Step 5: Solve for x
    x = 521,064.86/665.42
  6. Step 6: Final answer
    x = 783.07

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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.