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Finding the Fourth Proportional to 664.12, 1,000.51 and 520.48

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Solution

The fourth proportional to 664.12, 1,000.51 and 520.48 is: 784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.12 : 1,000.51 = 520.48 : x
  2. Step 2: Convert to fraction form
    664.12/1,000.51 = 520.48/x
  3. Step 3: Cross multiply
    664.12x = 1,000.51 × 520.48
  4. Step 4: Simplify right side
    664.12x = 520,745.44
  5. Step 5: Solve for x
    x = 520,745.44/664.12
  6. Step 6: Final answer
    x = 784.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.