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Finding the Fourth Proportional to 1,398.14, 2,097.09 and 657.57

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Solution

The fourth proportional to 1,398.14, 2,097.09 and 657.57 is: 986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.14 : 2,097.09 = 657.57 : x
  2. Step 2: Convert to fraction form
    1,398.14/2,097.09 = 657.57/x
  3. Step 3: Cross multiply
    1,398.14x = 2,097.09 × 657.57
  4. Step 4: Simplify right side
    1,398.14x = 1,378,988.03
  5. Step 5: Solve for x
    x = 1,378,988.03/1,398.14
  6. Step 6: Final answer
    x = 986.30

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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.