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Finding the Fourth Proportional to 957.97, 1,437.06 and 849.31

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Solution

The fourth proportional to 957.97, 1,437.06 and 849.31 is: 1,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.97 : 1,437.06 = 849.31 : x
  2. Step 2: Convert to fraction form
    957.97/1,437.06 = 849.31/x
  3. Step 3: Cross multiply
    957.97x = 1,437.06 × 849.31
  4. Step 4: Simplify right side
    957.97x = 1,220,509.43
  5. Step 5: Solve for x
    x = 1,220,509.43/957.97
  6. Step 6: Final answer
    x = 1,274.06

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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.