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Finding the Fourth Proportional to 1,158.42, 1,736.34 and 835.20

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Solution

The fourth proportional to 1,158.42, 1,736.34 and 835.20 is: 1,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.42 : 1,736.34 = 835.20 : x
  2. Step 2: Convert to fraction form
    1,158.42/1,736.34 = 835.20/x
  3. Step 3: Cross multiply
    1,158.42x = 1,736.34 × 835.20
  4. Step 4: Simplify right side
    1,158.42x = 1,450,191.17
  5. Step 5: Solve for x
    x = 1,450,191.17/1,158.42
  6. Step 6: Final answer
    x = 1,251.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.