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Finding the Fourth Proportional to 664.49, 918.60 and 609.14

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Solution

The fourth proportional to 664.49, 918.60 and 609.14 is: 842.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.49 : 918.60 = 609.14 : x
  2. Step 2: Convert to fraction form
    664.49/918.60 = 609.14/x
  3. Step 3: Cross multiply
    664.49x = 918.60 × 609.14
  4. Step 4: Simplify right side
    664.49x = 559,556.00
  5. Step 5: Solve for x
    x = 559,556.00/664.49
  6. Step 6: Final answer
    x = 842.08

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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.