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Finding the Fourth Proportional to 958.64, 1,323.24 and 585.86

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Solution

The fourth proportional to 958.64, 1,323.24 and 585.86 is: 808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.64 : 1,323.24 = 585.86 : x
  2. Step 2: Convert to fraction form
    958.64/1,323.24 = 585.86/x
  3. Step 3: Cross multiply
    958.64x = 1,323.24 × 585.86
  4. Step 4: Simplify right side
    958.64x = 775,233.39
  5. Step 5: Solve for x
    x = 775,233.39/958.64
  6. Step 6: Final answer
    x = 808.68

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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.