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Finding the Fourth Proportional to 1,096.09, 1,644.10 and 365.68

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Solution

The fourth proportional to 1,096.09, 1,644.10 and 365.68 is: 548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.09 : 1,644.10 = 365.68 : x
  2. Step 2: Convert to fraction form
    1,096.09/1,644.10 = 365.68/x
  3. Step 3: Cross multiply
    1,096.09x = 1,644.10 × 365.68
  4. Step 4: Simplify right side
    1,096.09x = 601,214.49
  5. Step 5: Solve for x
    x = 601,214.49/1,096.09
  6. Step 6: Final answer
    x = 548.51

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Double scale
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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.