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Finding the Fourth Proportional to 1,398.31, 2,097.09 and 666.43

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Solution

The fourth proportional to 1,398.31, 2,097.09 and 666.43 is: 999.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.31 : 2,097.09 = 666.43 : x
  2. Step 2: Convert to fraction form
    1,398.31/2,097.09 = 666.43/x
  3. Step 3: Cross multiply
    1,398.31x = 2,097.09 × 666.43
  4. Step 4: Simplify right side
    1,398.31x = 1,397,563.69
  5. Step 5: Solve for x
    x = 1,397,563.69/1,398.31
  6. Step 6: Final answer
    x = 999.47

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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.