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Finding the Fourth Proportional to 886.75, 1,222.59 and 591.81

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Solution

The fourth proportional to 886.75, 1,222.59 and 591.81 is: 815.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.75 : 1,222.59 = 591.81 : x
  2. Step 2: Convert to fraction form
    886.75/1,222.59 = 591.81/x
  3. Step 3: Cross multiply
    886.75x = 1,222.59 × 591.81
  4. Step 4: Simplify right side
    886.75x = 723,538.62
  5. Step 5: Solve for x
    x = 723,538.62/886.75
  6. Step 6: Final answer
    x = 815.95

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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.