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Finding the Fourth Proportional to 1,096.49, 1,513.13 and 654.23

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Solution

The fourth proportional to 1,096.49, 1,513.13 and 654.23 is: 902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.49 : 1,513.13 = 654.23 : x
  2. Step 2: Convert to fraction form
    1,096.49/1,513.13 = 654.23/x
  3. Step 3: Cross multiply
    1,096.49x = 1,513.13 × 654.23
  4. Step 4: Simplify right side
    1,096.49x = 989,924.20
  5. Step 5: Solve for x
    x = 989,924.20/1,096.49
  6. Step 6: Final answer
    x = 902.82

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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.