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Finding the Fourth Proportional to 1,096.70, 1,643.68 and 549.04

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Solution

The fourth proportional to 1,096.70, 1,643.68 and 549.04 is: 822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.70 : 1,643.68 = 549.04 : x
  2. Step 2: Convert to fraction form
    1,096.70/1,643.68 = 549.04/x
  3. Step 3: Cross multiply
    1,096.70x = 1,643.68 × 549.04
  4. Step 4: Simplify right side
    1,096.70x = 902,446.07
  5. Step 5: Solve for x
    x = 902,446.07/1,096.70
  6. Step 6: Final answer
    x = 822.87

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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.