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Finding the Fourth Proportional to 1,059.87, 1,578.86 and 992.59

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Solution

The fourth proportional to 1,059.87, 1,578.86 and 992.59 is: 1,478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.87 : 1,578.86 = 992.59 : x
  2. Step 2: Convert to fraction form
    1,059.87/1,578.86 = 992.59/x
  3. Step 3: Cross multiply
    1,059.87x = 1,578.86 × 992.59
  4. Step 4: Simplify right side
    1,059.87x = 1,567,160.65
  5. Step 5: Solve for x
    x = 1,567,160.65/1,059.87
  6. Step 6: Final answer
    x = 1,478.63

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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.