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Finding the Fourth Proportional to 1,397.56, 2,096.45 and 472.81

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Solution

The fourth proportional to 1,397.56, 2,096.45 and 472.81 is: 709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.56 : 2,096.45 = 472.81 : x
  2. Step 2: Convert to fraction form
    1,397.56/2,096.45 = 472.81/x
  3. Step 3: Cross multiply
    1,397.56x = 2,096.45 × 472.81
  4. Step 4: Simplify right side
    1,397.56x = 991,222.52
  5. Step 5: Solve for x
    x = 991,222.52/1,397.56
  6. Step 6: Final answer
    x = 709.25

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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.