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Finding the Fourth Proportional to 806.91, 1,112.67 and 507.56

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Solution

The fourth proportional to 806.91, 1,112.67 and 507.56 is: 699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.91 : 1,112.67 = 507.56 : x
  2. Step 2: Convert to fraction form
    806.91/1,112.67 = 507.56/x
  3. Step 3: Cross multiply
    806.91x = 1,112.67 × 507.56
  4. Step 4: Simplify right side
    806.91x = 564,747.03
  5. Step 5: Solve for x
    x = 564,747.03/806.91
  6. Step 6: Final answer
    x = 699.89

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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.