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Finding the Fourth Proportional to 1,096.11, 1,512.77 and 654.01

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Solution

The fourth proportional to 1,096.11, 1,512.77 and 654.01 is: 902.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.11 : 1,512.77 = 654.01 : x
  2. Step 2: Convert to fraction form
    1,096.11/1,512.77 = 654.01/x
  3. Step 3: Cross multiply
    1,096.11x = 1,512.77 × 654.01
  4. Step 4: Simplify right side
    1,096.11x = 989,366.71
  5. Step 5: Solve for x
    x = 989,366.71/1,096.11
  6. Step 6: Final answer
    x = 902.62

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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.