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Finding the Fourth Proportional to 1,397.19, 2,096.04 and 666.81

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Solution

The fourth proportional to 1,397.19, 2,096.04 and 666.81 is: 1,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.19 : 2,096.04 = 666.81 : x
  2. Step 2: Convert to fraction form
    1,397.19/2,096.04 = 666.81/x
  3. Step 3: Cross multiply
    1,397.19x = 2,096.04 × 666.81
  4. Step 4: Simplify right side
    1,397.19x = 1,397,665.67
  5. Step 5: Solve for x
    x = 1,397,665.67/1,397.19
  6. Step 6: Final answer
    x = 1,000.34

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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.