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Finding the Fourth Proportional to 843.12, 1,163.52 and 511.56

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Solution

The fourth proportional to 843.12, 1,163.52 and 511.56 is: 705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.12 : 1,163.52 = 511.56 : x
  2. Step 2: Convert to fraction form
    843.12/1,163.52 = 511.56/x
  3. Step 3: Cross multiply
    843.12x = 1,163.52 × 511.56
  4. Step 4: Simplify right side
    843.12x = 595,210.29
  5. Step 5: Solve for x
    x = 595,210.29/843.12
  6. Step 6: Final answer
    x = 705.96

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1.5x scale

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.