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Finding the Fourth Proportional to 1,397.65, 2,096.24 and 473.19

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Solution

The fourth proportional to 1,397.65, 2,096.24 and 473.19 is: 709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.65 : 2,096.24 = 473.19 : x
  2. Step 2: Convert to fraction form
    1,397.65/2,096.24 = 473.19/x
  3. Step 3: Cross multiply
    1,397.65x = 2,096.24 × 473.19
  4. Step 4: Simplify right side
    1,397.65x = 991,919.81
  5. Step 5: Solve for x
    x = 991,919.81/1,397.65
  6. Step 6: Final answer
    x = 709.71

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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.