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Finding the Fourth Proportional to 843.50, 1,164.52 and 564.66

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Solution

The fourth proportional to 843.50, 1,164.52 and 564.66 is: 779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.50 : 1,164.52 = 564.66 : x
  2. Step 2: Convert to fraction form
    843.50/1,164.52 = 564.66/x
  3. Step 3: Cross multiply
    843.50x = 1,164.52 × 564.66
  4. Step 4: Simplify right side
    843.50x = 657,557.86
  5. Step 5: Solve for x
    x = 657,557.86/843.50
  6. Step 6: Final answer
    x = 779.56

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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.