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Finding the Fourth Proportional to 1,397.46, 2,096.19 and 473.02

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Solution

The fourth proportional to 1,397.46, 2,096.19 and 473.02 is: 709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.46 : 2,096.19 = 473.02 : x
  2. Step 2: Convert to fraction form
    1,397.46/2,096.19 = 473.02/x
  3. Step 3: Cross multiply
    1,397.46x = 2,096.19 × 473.02
  4. Step 4: Simplify right side
    1,397.46x = 991,534.55
  5. Step 5: Solve for x
    x = 991,534.55/1,397.46
  6. Step 6: Final answer
    x = 709.53

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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.