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Finding the Fourth Proportional to 843.77, 1,164.54 and 512.41

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Solution

The fourth proportional to 843.77, 1,164.54 and 512.41 is: 707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.77 : 1,164.54 = 512.41 : x
  2. Step 2: Convert to fraction form
    843.77/1,164.54 = 512.41/x
  3. Step 3: Cross multiply
    843.77x = 1,164.54 × 512.41
  4. Step 4: Simplify right side
    843.77x = 596,725.89
  5. Step 5: Solve for x
    x = 596,725.89/843.77
  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.