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Finding the Fourth Proportional to 1,397.28, 2,096.94 and 666.86

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Solution

The fourth proportional to 1,397.28, 2,096.94 and 666.86 is: 1,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.28 : 2,096.94 = 666.86 : x
  2. Step 2: Convert to fraction form
    1,397.28/2,096.94 = 666.86/x
  3. Step 3: Cross multiply
    1,397.28x = 2,096.94 × 666.86
  4. Step 4: Simplify right side
    1,397.28x = 1,398,365.41
  5. Step 5: Solve for x
    x = 1,398,365.41/1,397.28
  6. Step 6: Final answer
    x = 1,000.78

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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.