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Finding the Fourth Proportional to 1,238.60, 1,709.42 and 813.58

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Solution

The fourth proportional to 1,238.60, 1,709.42 and 813.58 is: 1,122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.60 : 1,709.42 = 813.58 : x
  2. Step 2: Convert to fraction form
    1,238.60/1,709.42 = 813.58/x
  3. Step 3: Cross multiply
    1,238.60x = 1,709.42 × 813.58
  4. Step 4: Simplify right side
    1,238.60x = 1,390,749.92
  5. Step 5: Solve for x
    x = 1,390,749.92/1,238.60
  6. Step 6: Final answer
    x = 1,122.84

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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.