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Finding the Fourth Proportional to 958.78, 1,323.22 and 585.80

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Solution

The fourth proportional to 958.78, 1,323.22 and 585.80 is: 808.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.78 : 1,323.22 = 585.80 : x
  2. Step 2: Convert to fraction form
    958.78/1,323.22 = 585.80/x
  3. Step 3: Cross multiply
    958.78x = 1,323.22 × 585.80
  4. Step 4: Simplify right side
    958.78x = 775,142.28
  5. Step 5: Solve for x
    x = 775,142.28/958.78
  6. Step 6: Final answer
    x = 808.47

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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.