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Finding the Fourth Proportional to 1,697.82, 2,546.32 and 657.16

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Solution

The fourth proportional to 1,697.82, 2,546.32 and 657.16 is: 985.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.82 : 2,546.32 = 657.16 : x
  2. Step 2: Convert to fraction form
    1,697.82/2,546.32 = 657.16/x
  3. Step 3: Cross multiply
    1,697.82x = 2,546.32 × 657.16
  4. Step 4: Simplify right side
    1,697.82x = 1,673,349.97
  5. Step 5: Solve for x
    x = 1,673,349.97/1,697.82
  6. Step 6: Final answer
    x = 985.59

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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.