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Finding the Fourth Proportional to 902.76, 1,245.91 and 529.86

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Solution

The fourth proportional to 902.76, 1,245.91 and 529.86 is: 731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.76 : 1,245.91 = 529.86 : x
  2. Step 2: Convert to fraction form
    902.76/1,245.91 = 529.86/x
  3. Step 3: Cross multiply
    902.76x = 1,245.91 × 529.86
  4. Step 4: Simplify right side
    902.76x = 660,160.29
  5. Step 5: Solve for x
    x = 660,160.29/902.76
  6. Step 6: Final answer
    x = 731.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.