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Finding the Fourth Proportional to 664.64, 992.08 and 586.80

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Solution

The fourth proportional to 664.64, 992.08 and 586.80 is: 875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.64 : 992.08 = 586.80 : x
  2. Step 2: Convert to fraction form
    664.64/992.08 = 586.80/x
  3. Step 3: Cross multiply
    664.64x = 992.08 × 586.80
  4. Step 4: Simplify right side
    664.64x = 582,152.54
  5. Step 5: Solve for x
    x = 582,152.54/664.64
  6. Step 6: Final answer
    x = 875.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.