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Finding the Fourth Proportional to 843.13, 1,162.64 and 511.43

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Solution

The fourth proportional to 843.13, 1,162.64 and 511.43 is: 705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.13 : 1,162.64 = 511.43 : x
  2. Step 2: Convert to fraction form
    843.13/1,162.64 = 511.43/x
  3. Step 3: Cross multiply
    843.13x = 1,162.64 × 511.43
  4. Step 4: Simplify right side
    843.13x = 594,606.42
  5. Step 5: Solve for x
    x = 594,606.42/843.13
  6. Step 6: Final answer
    x = 705.24

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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.