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Finding the Fourth Proportional to 902.87, 1,245.94 and 509.88

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Solution

The fourth proportional to 902.87, 1,245.94 and 509.88 is: 703.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.87 : 1,245.94 = 509.88 : x
  2. Step 2: Convert to fraction form
    902.87/1,245.94 = 509.88/x
  3. Step 3: Cross multiply
    902.87x = 1,245.94 × 509.88
  4. Step 4: Simplify right side
    902.87x = 635,279.89
  5. Step 5: Solve for x
    x = 635,279.89/902.87
  6. Step 6: Final answer
    x = 703.62

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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.