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Finding the Fourth Proportional to 1,193.67, 1,788.87 and 900.92

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Solution

The fourth proportional to 1,193.67, 1,788.87 and 900.92 is: 1,350.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.67 : 1,788.87 = 900.92 : x
  2. Step 2: Convert to fraction form
    1,193.67/1,788.87 = 900.92/x
  3. Step 3: Cross multiply
    1,193.67x = 1,788.87 × 900.92
  4. Step 4: Simplify right side
    1,193.67x = 1,611,631.54
  5. Step 5: Solve for x
    x = 1,611,631.54/1,193.67
  6. Step 6: Final answer
    x = 1,350.15

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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.