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Finding the Fourth Proportional to 902.77, 1,245.74 and 529.76

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Solution

The fourth proportional to 902.77, 1,245.74 and 529.76 is: 731.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.77 : 1,245.74 = 529.76 : x
  2. Step 2: Convert to fraction form
    902.77/1,245.74 = 529.76/x
  3. Step 3: Cross multiply
    902.77x = 1,245.74 × 529.76
  4. Step 4: Simplify right side
    902.77x = 659,943.69
  5. Step 5: Solve for x
    x = 659,943.69/902.77
  6. Step 6: Final answer
    x = 731.02

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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.