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Finding the Fourth Proportional to 843.96, 1,164.84 and 512.40

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Solution

The fourth proportional to 843.96, 1,164.84 and 512.40 is: 707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.96 : 1,164.84 = 512.40 : x
  2. Step 2: Convert to fraction form
    843.96/1,164.84 = 512.40/x
  3. Step 3: Cross multiply
    843.96x = 1,164.84 × 512.40
  4. Step 4: Simplify right side
    843.96x = 596,864.02
  5. Step 5: Solve for x
    x = 596,864.02/843.96
  6. Step 6: Final answer
    x = 707.22

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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.