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Finding the Fourth Proportional to 1,412.69, 1,949.49 and 783.18

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Solution

The fourth proportional to 1,412.69, 1,949.49 and 783.18 is: 1,080.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.69 : 1,949.49 = 783.18 : x
  2. Step 2: Convert to fraction form
    1,412.69/1,949.49 = 783.18/x
  3. Step 3: Cross multiply
    1,412.69x = 1,949.49 × 783.18
  4. Step 4: Simplify right side
    1,412.69x = 1,526,801.58
  5. Step 5: Solve for x
    x = 1,526,801.58/1,412.69
  6. Step 6: Final answer
    x = 1,080.78

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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.