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Finding the Fourth Proportional to 807.49, 1,114.04 and 475.79

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Solution

The fourth proportional to 807.49, 1,114.04 and 475.79 is: 656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.49 : 1,114.04 = 475.79 : x
  2. Step 2: Convert to fraction form
    807.49/1,114.04 = 475.79/x
  3. Step 3: Cross multiply
    807.49x = 1,114.04 × 475.79
  4. Step 4: Simplify right side
    807.49x = 530,046.71
  5. Step 5: Solve for x
    x = 530,046.71/807.49
  6. Step 6: Final answer
    x = 656.42

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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.