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Finding the Fourth Proportional to 817.65, 1,128.42 and 486.09

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Solution

The fourth proportional to 817.65, 1,128.42 and 486.09 is: 670.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.65 : 1,128.42 = 486.09 : x
  2. Step 2: Convert to fraction form
    817.65/1,128.42 = 486.09/x
  3. Step 3: Cross multiply
    817.65x = 1,128.42 × 486.09
  4. Step 4: Simplify right side
    817.65x = 548,513.68
  5. Step 5: Solve for x
    x = 548,513.68/817.65
  6. Step 6: Final answer
    x = 670.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.