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Finding the Fourth Proportional to 666.31, 999.69 and 601.61

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Solution

The fourth proportional to 666.31, 999.69 and 601.61 is: 902.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.31 : 999.69 = 601.61 : x
  2. Step 2: Convert to fraction form
    666.31/999.69 = 601.61/x
  3. Step 3: Cross multiply
    666.31x = 999.69 × 601.61
  4. Step 4: Simplify right side
    666.31x = 601,425.25
  5. Step 5: Solve for x
    x = 601,425.25/666.31
  6. Step 6: Final answer
    x = 902.62

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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.