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Finding the Fourth Proportional to 1,194.13, 1,780.99 and 1,048.84

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Solution

The fourth proportional to 1,194.13, 1,780.99 and 1,048.84 is: 1,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.13 : 1,780.99 = 1,048.84 : x
  2. Step 2: Convert to fraction form
    1,194.13/1,780.99 = 1,048.84/x
  3. Step 3: Cross multiply
    1,194.13x = 1,780.99 × 1,048.84
  4. Step 4: Simplify right side
    1,194.13x = 1,867,973.75
  5. Step 5: Solve for x
    x = 1,867,973.75/1,194.13
  6. Step 6: Final answer
    x = 1,564.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.