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Finding the Fourth Proportional to 902.87, 1,245.96 and 529.76

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Solution

The fourth proportional to 902.87, 1,245.96 and 529.76 is: 731.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.87 : 1,245.96 = 529.76 : x
  2. Step 2: Convert to fraction form
    902.87/1,245.96 = 529.76/x
  3. Step 3: Cross multiply
    902.87x = 1,245.96 × 529.76
  4. Step 4: Simplify right side
    902.87x = 660,053.54
  5. Step 5: Solve for x
    x = 660,053.54/902.87
  6. Step 6: Final answer
    x = 731.07

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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.