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Finding the Fourth Proportional to 1,640.04, 2,459.14 and 665

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Solution

The fourth proportional to 1,640.04, 2,459.14 and 665 is: 997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.04 : 2,459.14 = 665 : x
  2. Step 2: Convert to fraction form
    1,640.04/2,459.14 = 665/x
  3. Step 3: Cross multiply
    1,640.04x = 2,459.14 × 665
  4. Step 4: Simplify right side
    1,640.04x = 1,635,328.10
  5. Step 5: Solve for x
    x = 1,635,328.10/1,640.04
  6. Step 6: Final answer
    x = 997.13

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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.