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Finding the Fourth Proportional to 806.44, 1,112.60 and 511.42

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Solution

The fourth proportional to 806.44, 1,112.60 and 511.42 is: 705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.44 : 1,112.60 = 511.42 : x
  2. Step 2: Convert to fraction form
    806.44/1,112.60 = 511.42/x
  3. Step 3: Cross multiply
    806.44x = 1,112.60 × 511.42
  4. Step 4: Simplify right side
    806.44x = 569,005.89
  5. Step 5: Solve for x
    x = 569,005.89/806.44
  6. Step 6: Final answer
    x = 705.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.