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Finding the Fourth Proportional to 957.83, 1,433.91 and 591.44

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Solution

The fourth proportional to 957.83, 1,433.91 and 591.44 is: 885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.83 : 1,433.91 = 591.44 : x
  2. Step 2: Convert to fraction form
    957.83/1,433.91 = 591.44/x
  3. Step 3: Cross multiply
    957.83x = 1,433.91 × 591.44
  4. Step 4: Simplify right side
    957.83x = 848,071.73
  5. Step 5: Solve for x
    x = 848,071.73/957.83
  6. Step 6: Final answer
    x = 885.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.