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Finding the Fourth Proportional to 806.44, 1,113.30 and 496.12

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Solution

The fourth proportional to 806.44, 1,113.30 and 496.12 is: 684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.44 : 1,113.30 = 496.12 : x
  2. Step 2: Convert to fraction form
    806.44/1,113.30 = 496.12/x
  3. Step 3: Cross multiply
    806.44x = 1,113.30 × 496.12
  4. Step 4: Simplify right side
    806.44x = 552,330.40
  5. Step 5: Solve for x
    x = 552,330.40/806.44
  6. Step 6: Final answer
    x = 684.90

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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.