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Finding the Fourth Proportional to 843.84, 1,164.06 and 563.76

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Solution

The fourth proportional to 843.84, 1,164.06 and 563.76 is: 777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.84 : 1,164.06 = 563.76 : x
  2. Step 2: Convert to fraction form
    843.84/1,164.06 = 563.76/x
  3. Step 3: Cross multiply
    843.84x = 1,164.06 × 563.76
  4. Step 4: Simplify right side
    843.84x = 656,250.47
  5. Step 5: Solve for x
    x = 656,250.47/843.84
  6. Step 6: Final answer
    x = 777.70

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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.