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Finding the Fourth Proportional to 1,640.31, 2,459.85 and 665.88

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Solution

The fourth proportional to 1,640.31, 2,459.85 and 665.88 is: 998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.31 : 2,459.85 = 665.88 : x
  2. Step 2: Convert to fraction form
    1,640.31/2,459.85 = 665.88/x
  3. Step 3: Cross multiply
    1,640.31x = 2,459.85 × 665.88
  4. Step 4: Simplify right side
    1,640.31x = 1,637,964.92
  5. Step 5: Solve for x
    x = 1,637,964.92/1,640.31
  6. Step 6: Final answer
    x = 998.57

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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.