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Finding the Fourth Proportional to 1,446.91, 1,996.73 and 783.75

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Solution

The fourth proportional to 1,446.91, 1,996.73 and 783.75 is: 1,081.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.91 : 1,996.73 = 783.75 : x
  2. Step 2: Convert to fraction form
    1,446.91/1,996.73 = 783.75/x
  3. Step 3: Cross multiply
    1,446.91x = 1,996.73 × 783.75
  4. Step 4: Simplify right side
    1,446.91x = 1,564,943.65
  5. Step 5: Solve for x
    x = 1,564,943.65/1,446.91
  6. Step 6: Final answer
    x = 1,081.58

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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.