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Finding the Fourth Proportional to 1,059.41, 1,581.77 and 993.80

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Solution

The fourth proportional to 1,059.41, 1,581.77 and 993.80 is: 1,483.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.41 : 1,581.77 = 993.80 : x
  2. Step 2: Convert to fraction form
    1,059.41/1,581.77 = 993.80/x
  3. Step 3: Cross multiply
    1,059.41x = 1,581.77 × 993.80
  4. Step 4: Simplify right side
    1,059.41x = 1,571,950.15
  5. Step 5: Solve for x
    x = 1,571,950.15/1,059.41
  6. Step 6: Final answer
    x = 1,483.80

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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.