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Finding the Fourth Proportional to 1,096.85, 1,513.08 and 654.39

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Solution

The fourth proportional to 1,096.85, 1,513.08 and 654.39 is: 902.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.85 : 1,513.08 = 654.39 : x
  2. Step 2: Convert to fraction form
    1,096.85/1,513.08 = 654.39/x
  3. Step 3: Cross multiply
    1,096.85x = 1,513.08 × 654.39
  4. Step 4: Simplify right side
    1,096.85x = 990,144.42
  5. Step 5: Solve for x
    x = 990,144.42/1,096.85
  6. Step 6: Final answer
    x = 902.72

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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.