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Finding the Fourth Proportional to 666.75, 1,000.31 and 282.03

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Solution

The fourth proportional to 666.75, 1,000.31 and 282.03 is: 423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.75 : 1,000.31 = 282.03 : x
  2. Step 2: Convert to fraction form
    666.75/1,000.31 = 282.03/x
  3. Step 3: Cross multiply
    666.75x = 1,000.31 × 282.03
  4. Step 4: Simplify right side
    666.75x = 282,116.02
  5. Step 5: Solve for x
    x = 282,116.02/666.75
  6. Step 6: Final answer
    x = 423.12

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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.