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Finding the Fourth Proportional to 806.06, 1,112.70 and 511.49

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Solution

The fourth proportional to 806.06, 1,112.70 and 511.49 is: 706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.06 : 1,112.70 = 511.49 : x
  2. Step 2: Convert to fraction form
    806.06/1,112.70 = 511.49/x
  3. Step 3: Cross multiply
    806.06x = 1,112.70 × 511.49
  4. Step 4: Simplify right side
    806.06x = 569,134.92
  5. Step 5: Solve for x
    x = 569,134.92/806.06
  6. Step 6: Final answer
    x = 706.07

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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.