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Finding the Fourth Proportional to 1,096.58, 1,644.77 and 549.14

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Solution

The fourth proportional to 1,096.58, 1,644.77 and 549.14 is: 823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.58 : 1,644.77 = 549.14 : x
  2. Step 2: Convert to fraction form
    1,096.58/1,644.77 = 549.14/x
  3. Step 3: Cross multiply
    1,096.58x = 1,644.77 × 549.14
  4. Step 4: Simplify right side
    1,096.58x = 903,202.15
  5. Step 5: Solve for x
    x = 903,202.15/1,096.58
  6. Step 6: Final answer
    x = 823.65

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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.