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Finding the Fourth Proportional to 1,096.35, 1,512.93 and 654.03

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Solution

The fourth proportional to 1,096.35, 1,512.93 and 654.03 is: 902.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.35 : 1,512.93 = 654.03 : x
  2. Step 2: Convert to fraction form
    1,096.35/1,512.93 = 654.03/x
  3. Step 3: Cross multiply
    1,096.35x = 1,512.93 × 654.03
  4. Step 4: Simplify right side
    1,096.35x = 989,501.61
  5. Step 5: Solve for x
    x = 989,501.61/1,096.35
  6. Step 6: Final answer
    x = 902.54

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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.