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Finding the Fourth Proportional to 1,158.29, 1,597.64 and 843.23

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Solution

The fourth proportional to 1,158.29, 1,597.64 and 843.23 is: 1,163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.29 : 1,597.64 = 843.23 : x
  2. Step 2: Convert to fraction form
    1,158.29/1,597.64 = 843.23/x
  3. Step 3: Cross multiply
    1,158.29x = 1,597.64 × 843.23
  4. Step 4: Simplify right side
    1,158.29x = 1,347,173.76
  5. Step 5: Solve for x
    x = 1,347,173.76/1,158.29
  6. Step 6: Final answer
    x = 1,163.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.