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Finding the Fourth Proportional to 807.66, 1,114.32 and 475.96

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Solution

The fourth proportional to 807.66, 1,114.32 and 475.96 is: 656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.66 : 1,114.32 = 475.96 : x
  2. Step 2: Convert to fraction form
    807.66/1,114.32 = 475.96/x
  3. Step 3: Cross multiply
    807.66x = 1,114.32 × 475.96
  4. Step 4: Simplify right side
    807.66x = 530,369.37
  5. Step 5: Solve for x
    x = 530,369.37/807.66
  6. Step 6: Final answer
    x = 656.68

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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.