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Finding the Fourth Proportional to 1,640.79, 2,460.96 and 666.59

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Solution

The fourth proportional to 1,640.79, 2,460.96 and 666.59 is: 999.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.79 : 2,460.96 = 666.59 : x
  2. Step 2: Convert to fraction form
    1,640.79/2,460.96 = 666.59/x
  3. Step 3: Cross multiply
    1,640.79x = 2,460.96 × 666.59
  4. Step 4: Simplify right side
    1,640.79x = 1,640,439.02
  5. Step 5: Solve for x
    x = 1,640,439.02/1,640.79
  6. Step 6: Final answer
    x = 999.79

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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.