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Finding the Fourth Proportional to 1,446.65, 1,996.37 and 783.50

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Solution

The fourth proportional to 1,446.65, 1,996.37 and 783.50 is: 1,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.65 : 1,996.37 = 783.50 : x
  2. Step 2: Convert to fraction form
    1,446.65/1,996.37 = 783.50/x
  3. Step 3: Cross multiply
    1,446.65x = 1,996.37 × 783.50
  4. Step 4: Simplify right side
    1,446.65x = 1,564,151.98
  5. Step 5: Solve for x
    x = 1,564,151.98/1,446.65
  6. Step 6: Final answer
    x = 1,081.22

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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.