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Finding the Fourth Proportional to 666.57, 1,000.13 and 300.99

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Solution

The fourth proportional to 666.57, 1,000.13 and 300.99 is: 451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.57 : 1,000.13 = 300.99 : x
  2. Step 2: Convert to fraction form
    666.57/1,000.13 = 300.99/x
  3. Step 3: Cross multiply
    666.57x = 1,000.13 × 300.99
  4. Step 4: Simplify right side
    666.57x = 301,027.62
  5. Step 5: Solve for x
    x = 301,027.62/666.57
  6. Step 6: Final answer
    x = 451.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.