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Finding the Fourth Proportional to 653.82, 902.07 and 522.78

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Solution

The fourth proportional to 653.82, 902.07 and 522.78 is: 721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.82 : 902.07 = 522.78 : x
  2. Step 2: Convert to fraction form
    653.82/902.07 = 522.78/x
  3. Step 3: Cross multiply
    653.82x = 902.07 × 522.78
  4. Step 4: Simplify right side
    653.82x = 471,584.15
  5. Step 5: Solve for x
    x = 471,584.15/653.82
  6. Step 6: Final answer
    x = 721.28

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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.