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Finding the Fourth Proportional to 1,096.50, 1,513.26 and 624.54

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Solution

The fourth proportional to 1,096.50, 1,513.26 and 624.54 is: 861.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.50 : 1,513.26 = 624.54 : x
  2. Step 2: Convert to fraction form
    1,096.50/1,513.26 = 624.54/x
  3. Step 3: Cross multiply
    1,096.50x = 1,513.26 × 624.54
  4. Step 4: Simplify right side
    1,096.50x = 945,091.40
  5. Step 5: Solve for x
    x = 945,091.40/1,096.50
  6. Step 6: Final answer
    x = 861.92

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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.