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Finding the Fourth Proportional to 1,096.56, 1,513.01 and 654.38

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Solution

The fourth proportional to 1,096.56, 1,513.01 and 654.38 is: 902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.56 : 1,513.01 = 654.38 : x
  2. Step 2: Convert to fraction form
    1,096.56/1,513.01 = 654.38/x
  3. Step 3: Cross multiply
    1,096.56x = 1,513.01 × 654.38
  4. Step 4: Simplify right side
    1,096.56x = 990,072.65
  5. Step 5: Solve for x
    x = 990,072.65/1,096.56
  6. Step 6: Final answer
    x = 902.89

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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.