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Finding the Fourth Proportional to 1,096.56, 1,644.87 and 316.53

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Solution

The fourth proportional to 1,096.56, 1,644.87 and 316.53 is: 474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.56 : 1,644.87 = 316.53 : x
  2. Step 2: Convert to fraction form
    1,096.56/1,644.87 = 316.53/x
  3. Step 3: Cross multiply
    1,096.56x = 1,644.87 × 316.53
  4. Step 4: Simplify right side
    1,096.56x = 520,650.70
  5. Step 5: Solve for x
    x = 520,650.70/1,096.56
  6. Step 6: Final answer
    x = 474.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.