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Finding the Fourth Proportional to 1,328.54, 1,993.25 and 598.61

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Solution

The fourth proportional to 1,328.54, 1,993.25 and 598.61 is: 898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.54 : 1,993.25 = 598.61 : x
  2. Step 2: Convert to fraction form
    1,328.54/1,993.25 = 598.61/x
  3. Step 3: Cross multiply
    1,328.54x = 1,993.25 × 598.61
  4. Step 4: Simplify right side
    1,328.54x = 1,193,185.86
  5. Step 5: Solve for x
    x = 1,193,185.86/1,328.54
  6. Step 6: Final answer
    x = 898.12

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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.