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Finding the Fourth Proportional to 1,412.89, 1,949.73 and 783.37

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Solution

The fourth proportional to 1,412.89, 1,949.73 and 783.37 is: 1,081.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.89 : 1,949.73 = 783.37 : x
  2. Step 2: Convert to fraction form
    1,412.89/1,949.73 = 783.37/x
  3. Step 3: Cross multiply
    1,412.89x = 1,949.73 × 783.37
  4. Step 4: Simplify right side
    1,412.89x = 1,527,359.99
  5. Step 5: Solve for x
    x = 1,527,359.99/1,412.89
  6. Step 6: Final answer
    x = 1,081.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.