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Finding the Fourth Proportional to 957.78, 1,437.09 and 743.22

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Solution

The fourth proportional to 957.78, 1,437.09 and 743.22 is: 1,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.78 : 1,437.09 = 743.22 : x
  2. Step 2: Convert to fraction form
    957.78/1,437.09 = 743.22/x
  3. Step 3: Cross multiply
    957.78x = 1,437.09 × 743.22
  4. Step 4: Simplify right side
    957.78x = 1,068,074.03
  5. Step 5: Solve for x
    x = 1,068,074.03/957.78
  6. Step 6: Final answer
    x = 1,115.16

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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.