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Finding the Fourth Proportional to 667.02, 1,000.51 and 276.86

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Solution

The fourth proportional to 667.02, 1,000.51 and 276.86 is: 415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.02 : 1,000.51 = 276.86 : x
  2. Step 2: Convert to fraction form
    667.02/1,000.51 = 276.86/x
  3. Step 3: Cross multiply
    667.02x = 1,000.51 × 276.86
  4. Step 4: Simplify right side
    667.02x = 277,001.20
  5. Step 5: Solve for x
    x = 277,001.20/667.02
  6. Step 6: Final answer
    x = 415.28

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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.