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Finding the Fourth Proportional to 806.46, 1,112.31 and 507.41

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Solution

The fourth proportional to 806.46, 1,112.31 and 507.41 is: 699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.46 : 1,112.31 = 507.41 : x
  2. Step 2: Convert to fraction form
    806.46/1,112.31 = 507.41/x
  3. Step 3: Cross multiply
    806.46x = 1,112.31 × 507.41
  4. Step 4: Simplify right side
    806.46x = 564,397.22
  5. Step 5: Solve for x
    x = 564,397.22/806.46
  6. Step 6: Final answer
    x = 699.85

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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.