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Finding the Fourth Proportional to 872, 1,202.64 and 522.08

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Solution

The fourth proportional to 872, 1,202.64 and 522.08 is: 720.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    872 : 1,202.64 = 522.08 : x
  2. Step 2: Convert to fraction form
    872/1,202.64 = 522.08/x
  3. Step 3: Cross multiply
    872x = 1,202.64 × 522.08
  4. Step 4: Simplify right side
    872x = 627,874.29
  5. Step 5: Solve for x
    x = 627,874.29/872
  6. Step 6: Final answer
    x = 720.04

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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.