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Finding the Fourth Proportional to 1,397.74, 2,096.54 and 473.16

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Solution

The fourth proportional to 1,397.74, 2,096.54 and 473.16 is: 709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.74 : 2,096.54 = 473.16 : x
  2. Step 2: Convert to fraction form
    1,397.74/2,096.54 = 473.16/x
  3. Step 3: Cross multiply
    1,397.74x = 2,096.54 × 473.16
  4. Step 4: Simplify right side
    1,397.74x = 991,998.87
  5. Step 5: Solve for x
    x = 991,998.87/1,397.74
  6. Step 6: Final answer
    x = 709.72

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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.