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Finding the Fourth Proportional to 1,185.44, 1,780.65 and 723.47

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Solution

The fourth proportional to 1,185.44, 1,780.65 and 723.47 is: 1,086.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.44 : 1,780.65 = 723.47 : x
  2. Step 2: Convert to fraction form
    1,185.44/1,780.65 = 723.47/x
  3. Step 3: Cross multiply
    1,185.44x = 1,780.65 × 723.47
  4. Step 4: Simplify right side
    1,185.44x = 1,288,237.95
  5. Step 5: Solve for x
    x = 1,288,237.95/1,185.44
  6. Step 6: Final answer
    x = 1,086.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.