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Finding the Fourth Proportional to 1,158.35, 1,599.92 and 843.11

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Solution

The fourth proportional to 1,158.35, 1,599.92 and 843.11 is: 1,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.35 : 1,599.92 = 843.11 : x
  2. Step 2: Convert to fraction form
    1,158.35/1,599.92 = 843.11/x
  3. Step 3: Cross multiply
    1,158.35x = 1,599.92 × 843.11
  4. Step 4: Simplify right side
    1,158.35x = 1,348,905.50
  5. Step 5: Solve for x
    x = 1,348,905.50/1,158.35
  6. Step 6: Final answer
    x = 1,164.51

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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.