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Finding the Fourth Proportional to 902.82, 1,245.88 and 509.85

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Solution

The fourth proportional to 902.82, 1,245.88 and 509.85 is: 703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.82 : 1,245.88 = 509.85 : x
  2. Step 2: Convert to fraction form
    902.82/1,245.88 = 509.85/x
  3. Step 3: Cross multiply
    902.82x = 1,245.88 × 509.85
  4. Step 4: Simplify right side
    902.82x = 635,211.92
  5. Step 5: Solve for x
    x = 635,211.92/902.82
  6. Step 6: Final answer
    x = 703.59

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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.