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Finding the Fourth Proportional to 807.46, 1,114.12 and 475.76

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Solution

The fourth proportional to 807.46, 1,114.12 and 475.76 is: 656.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.46 : 1,114.12 = 475.76 : x
  2. Step 2: Convert to fraction form
    807.46/1,114.12 = 475.76/x
  3. Step 3: Cross multiply
    807.46x = 1,114.12 × 475.76
  4. Step 4: Simplify right side
    807.46x = 530,053.73
  5. Step 5: Solve for x
    x = 530,053.73/807.46
  6. Step 6: Final answer
    x = 656.45

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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.