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Finding the Fourth Proportional to 666.69, 1,000.43 and 406.88

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Solution

The fourth proportional to 666.69, 1,000.43 and 406.88 is: 610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.69 : 1,000.43 = 406.88 : x
  2. Step 2: Convert to fraction form
    666.69/1,000.43 = 406.88/x
  3. Step 3: Cross multiply
    666.69x = 1,000.43 × 406.88
  4. Step 4: Simplify right side
    666.69x = 407,054.96
  5. Step 5: Solve for x
    x = 407,054.96/666.69
  6. Step 6: Final answer
    x = 610.56

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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.