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Finding the Fourth Proportional to 807.00, 1,113.61 and 475.41

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Solution

The fourth proportional to 807.00, 1,113.61 and 475.41 is: 656.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.00 : 1,113.61 = 475.41 : x
  2. Step 2: Convert to fraction form
    807.00/1,113.61 = 475.41/x
  3. Step 3: Cross multiply
    807.00x = 1,113.61 × 475.41
  4. Step 4: Simplify right side
    807.00x = 529,418.05
  5. Step 5: Solve for x
    x = 529,418.05/807.00
  6. Step 6: Final answer
    x = 656.03

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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.