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Finding the Fourth Proportional to 1,158.54, 1,597.98 and 843.48

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Solution

The fourth proportional to 1,158.54, 1,597.98 and 843.48 is: 1,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.54 : 1,597.98 = 843.48 : x
  2. Step 2: Convert to fraction form
    1,158.54/1,597.98 = 843.48/x
  3. Step 3: Cross multiply
    1,158.54x = 1,597.98 × 843.48
  4. Step 4: Simplify right side
    1,158.54x = 1,347,864.17
  5. Step 5: Solve for x
    x = 1,347,864.17/1,158.54
  6. Step 6: Final answer
    x = 1,163.42

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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.