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Finding the Fourth Proportional to 1,096.63, 1,644.95 and 366.14

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Solution

The fourth proportional to 1,096.63, 1,644.95 and 366.14 is: 549.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.63 : 1,644.95 = 366.14 : x
  2. Step 2: Convert to fraction form
    1,096.63/1,644.95 = 366.14/x
  3. Step 3: Cross multiply
    1,096.63x = 1,644.95 × 366.14
  4. Step 4: Simplify right side
    1,096.63x = 602,287.02
  5. Step 5: Solve for x
    x = 602,287.02/1,096.63
  6. Step 6: Final answer
    x = 549.22

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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.