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Finding the Fourth Proportional to 1,182.80, 1,765.09 and 1,038.83

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Solution

The fourth proportional to 1,182.80, 1,765.09 and 1,038.83 is: 1,550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.80 : 1,765.09 = 1,038.83 : x
  2. Step 2: Convert to fraction form
    1,182.80/1,765.09 = 1,038.83/x
  3. Step 3: Cross multiply
    1,182.80x = 1,765.09 × 1,038.83
  4. Step 4: Simplify right side
    1,182.80x = 1,833,620.92
  5. Step 5: Solve for x
    x = 1,833,620.92/1,182.80
  6. Step 6: Final answer
    x = 1,550.23

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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.