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Finding the Fourth Proportional to 664.89, 917.76 and 594.82

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Solution

The fourth proportional to 664.89, 917.76 and 594.82 is: 821.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.89 : 917.76 = 594.82 : x
  2. Step 2: Convert to fraction form
    664.89/917.76 = 594.82/x
  3. Step 3: Cross multiply
    664.89x = 917.76 × 594.82
  4. Step 4: Simplify right side
    664.89x = 545,902.00
  5. Step 5: Solve for x
    x = 545,902.00/664.89
  6. Step 6: Final answer
    x = 821.04

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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.