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Finding the Fourth Proportional to 666.08, 1,000.92 and 406.04

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Solution

The fourth proportional to 666.08, 1,000.92 and 406.04 is: 610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.08 : 1,000.92 = 406.04 : x
  2. Step 2: Convert to fraction form
    666.08/1,000.92 = 406.04/x
  3. Step 3: Cross multiply
    666.08x = 1,000.92 × 406.04
  4. Step 4: Simplify right side
    666.08x = 406,413.56
  5. Step 5: Solve for x
    x = 406,413.56/666.08
  6. Step 6: Final answer
    x = 610.16

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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.