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Finding the Fourth Proportional to 1,180.67, 1,764.05 and 1,139.81

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Solution

The fourth proportional to 1,180.67, 1,764.05 and 1,139.81 is: 1,703.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.67 : 1,764.05 = 1,139.81 : x
  2. Step 2: Convert to fraction form
    1,180.67/1,764.05 = 1,139.81/x
  3. Step 3: Cross multiply
    1,180.67x = 1,764.05 × 1,139.81
  4. Step 4: Simplify right side
    1,180.67x = 2,010,667.31
  5. Step 5: Solve for x
    x = 2,010,667.31/1,180.67
  6. Step 6: Final answer
    x = 1,703.00

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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.