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Finding the Fourth Proportional to 1,096.04, 1,644.14 and 366.12

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Solution

The fourth proportional to 1,096.04, 1,644.14 and 366.12 is: 549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.04 : 1,644.14 = 366.12 : x
  2. Step 2: Convert to fraction form
    1,096.04/1,644.14 = 366.12/x
  3. Step 3: Cross multiply
    1,096.04x = 1,644.14 × 366.12
  4. Step 4: Simplify right side
    1,096.04x = 601,952.54
  5. Step 5: Solve for x
    x = 601,952.54/1,096.04
  6. Step 6: Final answer
    x = 549.21

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1.5x scale

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.