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Finding the Fourth Proportional to 872.94, 1,204.67 and 536.75

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Solution

The fourth proportional to 872.94, 1,204.67 and 536.75 is: 740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.94 : 1,204.67 = 536.75 : x
  2. Step 2: Convert to fraction form
    872.94/1,204.67 = 536.75/x
  3. Step 3: Cross multiply
    872.94x = 1,204.67 × 536.75
  4. Step 4: Simplify right side
    872.94x = 646,597.92
  5. Step 5: Solve for x
    x = 646,597.92/872.94
  6. Step 6: Final answer
    x = 740.71

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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.