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Finding the Fourth Proportional to 1,328.29, 1,992.81 and 558.61

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Solution

The fourth proportional to 1,328.29, 1,992.81 and 558.61 is: 838.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.29 : 1,992.81 = 558.61 : x
  2. Step 2: Convert to fraction form
    1,328.29/1,992.81 = 558.61/x
  3. Step 3: Cross multiply
    1,328.29x = 1,992.81 × 558.61
  4. Step 4: Simplify right side
    1,328.29x = 1,113,203.59
  5. Step 5: Solve for x
    x = 1,113,203.59/1,328.29
  6. Step 6: Final answer
    x = 838.07

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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.