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Finding the Fourth Proportional to 806.01, 1,112.01 and 511.23

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Solution

The fourth proportional to 806.01, 1,112.01 and 511.23 is: 705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.01 : 1,112.01 = 511.23 : x
  2. Step 2: Convert to fraction form
    806.01/1,112.01 = 511.23/x
  3. Step 3: Cross multiply
    806.01x = 1,112.01 × 511.23
  4. Step 4: Simplify right side
    806.01x = 568,492.87
  5. Step 5: Solve for x
    x = 568,492.87/806.01
  6. Step 6: Final answer
    x = 705.32

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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.