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Finding the Fourth Proportional to 807.43, 1,114.08 and 475.63

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Solution

The fourth proportional to 807.43, 1,114.08 and 475.63 is: 656.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.43 : 1,114.08 = 475.63 : x
  2. Step 2: Convert to fraction form
    807.43/1,114.08 = 475.63/x
  3. Step 3: Cross multiply
    807.43x = 1,114.08 × 475.63
  4. Step 4: Simplify right side
    807.43x = 529,889.87
  5. Step 5: Solve for x
    x = 529,889.87/807.43
  6. Step 6: Final answer
    x = 656.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.