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Finding the Fourth Proportional to 843.95, 1,164.51 and 512.33

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Solution

The fourth proportional to 843.95, 1,164.51 and 512.33 is: 706.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.95 : 1,164.51 = 512.33 : x
  2. Step 2: Convert to fraction form
    843.95/1,164.51 = 512.33/x
  3. Step 3: Cross multiply
    843.95x = 1,164.51 × 512.33
  4. Step 4: Simplify right side
    843.95x = 596,607.59
  5. Step 5: Solve for x
    x = 596,607.59/843.95
  6. Step 6: Final answer
    x = 706.92

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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.