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Finding the Fourth Proportional to 805.46, 1,112.01 and 511.16

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Solution

The fourth proportional to 805.46, 1,112.01 and 511.16 is: 705.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.46 : 1,112.01 = 511.16 : x
  2. Step 2: Convert to fraction form
    805.46/1,112.01 = 511.16/x
  3. Step 3: Cross multiply
    805.46x = 1,112.01 × 511.16
  4. Step 4: Simplify right side
    805.46x = 568,415.03
  5. Step 5: Solve for x
    x = 568,415.03/805.46
  6. Step 6: Final answer
    x = 705.70

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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.