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Finding the Fourth Proportional to 666.60, 999.90 and 522.42

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Solution

The fourth proportional to 666.60, 999.90 and 522.42 is: 783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.60 : 999.90 = 522.42 : x
  2. Step 2: Convert to fraction form
    666.60/999.90 = 522.42/x
  3. Step 3: Cross multiply
    666.60x = 999.90 × 522.42
  4. Step 4: Simplify right side
    666.60x = 522,367.76
  5. Step 5: Solve for x
    x = 522,367.76/666.60
  6. Step 6: Final answer
    x = 783.63

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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.