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Finding the Fourth Proportional to 806.20, 1,111.97 and 507.16

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Solution

The fourth proportional to 806.20, 1,111.97 and 507.16 is: 699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.20 : 1,111.97 = 507.16 : x
  2. Step 2: Convert to fraction form
    806.20/1,111.97 = 507.16/x
  3. Step 3: Cross multiply
    806.20x = 1,111.97 × 507.16
  4. Step 4: Simplify right side
    806.20x = 563,945.44
  5. Step 5: Solve for x
    x = 563,945.44/806.20
  6. Step 6: Final answer
    x = 699.51

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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.