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Finding the Fourth Proportional to 957.88, 1,433.94 and 713.80

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Solution

The fourth proportional to 957.88, 1,433.94 and 713.80 is: 1,068.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.88 : 1,433.94 = 713.80 : x
  2. Step 2: Convert to fraction form
    957.88/1,433.94 = 713.80/x
  3. Step 3: Cross multiply
    957.88x = 1,433.94 × 713.80
  4. Step 4: Simplify right side
    957.88x = 1,023,546.37
  5. Step 5: Solve for x
    x = 1,023,546.37/957.88
  6. Step 6: Final answer
    x = 1,068.55

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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.