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Finding the Fourth Proportional to 843.69, 1,164.63 and 512.16

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Solution

The fourth proportional to 843.69, 1,164.63 and 512.16 is: 706.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.69 : 1,164.63 = 512.16 : x
  2. Step 2: Convert to fraction form
    843.69/1,164.63 = 512.16/x
  3. Step 3: Cross multiply
    843.69x = 1,164.63 × 512.16
  4. Step 4: Simplify right side
    843.69x = 596,476.90
  5. Step 5: Solve for x
    x = 596,476.90/843.69
  6. Step 6: Final answer
    x = 706.99

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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.