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Finding the Fourth Proportional to 1,324.06, 1,983.64 and 957.94

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Solution

The fourth proportional to 1,324.06, 1,983.64 and 957.94 is: 1,435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.06 : 1,983.64 = 957.94 : x
  2. Step 2: Convert to fraction form
    1,324.06/1,983.64 = 957.94/x
  3. Step 3: Cross multiply
    1,324.06x = 1,983.64 × 957.94
  4. Step 4: Simplify right side
    1,324.06x = 1,900,208.10
  5. Step 5: Solve for x
    x = 1,900,208.10/1,324.06
  6. Step 6: Final answer
    x = 1,435.14

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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.