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Finding the Fourth Proportional to 1,463.22, 2,195.64 and 732.96

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Solution

The fourth proportional to 1,463.22, 2,195.64 and 732.96 is: 1,099.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.22 : 2,195.64 = 732.96 : x
  2. Step 2: Convert to fraction form
    1,463.22/2,195.64 = 732.96/x
  3. Step 3: Cross multiply
    1,463.22x = 2,195.64 × 732.96
  4. Step 4: Simplify right side
    1,463.22x = 1,609,316.29
  5. Step 5: Solve for x
    x = 1,609,316.29/1,463.22
  6. Step 6: Final answer
    x = 1,099.85

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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.