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Finding the Fourth Proportional to 1,499.73, 2,069.55 and 836.57

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Solution

The fourth proportional to 1,499.73, 2,069.55 and 836.57 is: 1,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.73 : 2,069.55 = 836.57 : x
  2. Step 2: Convert to fraction form
    1,499.73/2,069.55 = 836.57/x
  3. Step 3: Cross multiply
    1,499.73x = 2,069.55 × 836.57
  4. Step 4: Simplify right side
    1,499.73x = 1,731,323.44
  5. Step 5: Solve for x
    x = 1,731,323.44/1,499.73
  6. Step 6: Final answer
    x = 1,154.42

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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.