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Finding the Fourth Proportional to 806.94, 1,112.85 and 512.10

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Solution

The fourth proportional to 806.94, 1,112.85 and 512.10 is: 706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.94 : 1,112.85 = 512.10 : x
  2. Step 2: Convert to fraction form
    806.94/1,112.85 = 512.10/x
  3. Step 3: Cross multiply
    806.94x = 1,112.85 × 512.10
  4. Step 4: Simplify right side
    806.94x = 569,890.49
  5. Step 5: Solve for x
    x = 569,890.49/806.94
  6. Step 6: Final answer
    x = 706.24

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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.