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Finding the Fourth Proportional to 892.84, 1,232.04 and 543.64

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Solution

The fourth proportional to 892.84, 1,232.04 and 543.64 is: 750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.84 : 1,232.04 = 543.64 : x
  2. Step 2: Convert to fraction form
    892.84/1,232.04 = 543.64/x
  3. Step 3: Cross multiply
    892.84x = 1,232.04 × 543.64
  4. Step 4: Simplify right side
    892.84x = 669,786.23
  5. Step 5: Solve for x
    x = 669,786.23/892.84
  6. Step 6: Final answer
    x = 750.17

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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.