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Finding the Fourth Proportional to 806.16, 1,113.04 and 523.12

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Solution

The fourth proportional to 806.16, 1,113.04 and 523.12 is: 722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.16 : 1,113.04 = 523.12 : x
  2. Step 2: Convert to fraction form
    806.16/1,113.04 = 523.12/x
  3. Step 3: Cross multiply
    806.16x = 1,113.04 × 523.12
  4. Step 4: Simplify right side
    806.16x = 582,253.48
  5. Step 5: Solve for x
    x = 582,253.48/806.16
  6. Step 6: Final answer
    x = 722.26

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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.