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Finding the Fourth Proportional to 957.80, 1,321.37 and 584.63

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Solution

The fourth proportional to 957.80, 1,321.37 and 584.63 is: 806.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.80 : 1,321.37 = 584.63 : x
  2. Step 2: Convert to fraction form
    957.80/1,321.37 = 584.63/x
  3. Step 3: Cross multiply
    957.80x = 1,321.37 × 584.63
  4. Step 4: Simplify right side
    957.80x = 772,503.01
  5. Step 5: Solve for x
    x = 772,503.01/957.80
  6. Step 6: Final answer
    x = 806.54

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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.