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Finding the Fourth Proportional to 1,096.52, 1,644.66 and 366.14

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Solution

The fourth proportional to 1,096.52, 1,644.66 and 366.14 is: 549.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.52 : 1,644.66 = 366.14 : x
  2. Step 2: Convert to fraction form
    1,096.52/1,644.66 = 366.14/x
  3. Step 3: Cross multiply
    1,096.52x = 1,644.66 × 366.14
  4. Step 4: Simplify right side
    1,096.52x = 602,175.81
  5. Step 5: Solve for x
    x = 602,175.81/1,096.52
  6. Step 6: Final answer
    x = 549.17

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