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Finding the Fourth Proportional to 1,096.35, 1,512.75 and 654.29

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Solution

The fourth proportional to 1,096.35, 1,512.75 and 654.29 is: 902.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.35 : 1,512.75 = 654.29 : x
  2. Step 2: Convert to fraction form
    1,096.35/1,512.75 = 654.29/x
  3. Step 3: Cross multiply
    1,096.35x = 1,512.75 × 654.29
  4. Step 4: Simplify right side
    1,096.35x = 989,777.76
  5. Step 5: Solve for x
    x = 989,777.76/1,096.35
  6. Step 6: Final answer
    x = 902.80

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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.