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Finding the Fourth Proportional to 902.82, 1,356.54 and 729.82

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Solution

The fourth proportional to 902.82, 1,356.54 and 729.82 is: 1,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.82 : 1,356.54 = 729.82 : x
  2. Step 2: Convert to fraction form
    902.82/1,356.54 = 729.82/x
  3. Step 3: Cross multiply
    902.82x = 1,356.54 × 729.82
  4. Step 4: Simplify right side
    902.82x = 990,030.02
  5. Step 5: Solve for x
    x = 990,030.02/902.82
  6. Step 6: Final answer
    x = 1,096.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.