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Finding the Fourth Proportional to 1,096.44, 1,513.56 and 654.28

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Solution

The fourth proportional to 1,096.44, 1,513.56 and 654.28 is: 903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.44 : 1,513.56 = 654.28 : x
  2. Step 2: Convert to fraction form
    1,096.44/1,513.56 = 654.28/x
  3. Step 3: Cross multiply
    1,096.44x = 1,513.56 × 654.28
  4. Step 4: Simplify right side
    1,096.44x = 990,292.04
  5. Step 5: Solve for x
    x = 990,292.04/1,096.44
  6. Step 6: Final answer
    x = 903.19

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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.