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Finding the Fourth Proportional to 902.14, 1,245.06 and 529.30

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Solution

The fourth proportional to 902.14, 1,245.06 and 529.30 is: 730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.14 : 1,245.06 = 529.30 : x
  2. Step 2: Convert to fraction form
    902.14/1,245.06 = 529.30/x
  3. Step 3: Cross multiply
    902.14x = 1,245.06 × 529.30
  4. Step 4: Simplify right side
    902.14x = 659,010.26
  5. Step 5: Solve for x
    x = 659,010.26/902.14
  6. Step 6: Final answer
    x = 730.50

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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.