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Finding the Fourth Proportional to 699.61, 965.51 and 582.97

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Solution

The fourth proportional to 699.61, 965.51 and 582.97 is: 804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.61 : 965.51 = 582.97 : x
  2. Step 2: Convert to fraction form
    699.61/965.51 = 582.97/x
  3. Step 3: Cross multiply
    699.61x = 965.51 × 582.97
  4. Step 4: Simplify right side
    699.61x = 562,863.36
  5. Step 5: Solve for x
    x = 562,863.36/699.61
  6. Step 6: Final answer
    x = 804.54

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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.