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Finding the Fourth Proportional to 806.72, 1,113.80 and 523.28

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Solution

The fourth proportional to 806.72, 1,113.80 and 523.28 is: 722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.72 : 1,113.80 = 523.28 : x
  2. Step 2: Convert to fraction form
    806.72/1,113.80 = 523.28/x
  3. Step 3: Cross multiply
    806.72x = 1,113.80 × 523.28
  4. Step 4: Simplify right side
    806.72x = 582,829.26
  5. Step 5: Solve for x
    x = 582,829.26/806.72
  6. Step 6: Final answer
    x = 722.47

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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.