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Finding the Fourth Proportional to 1,089.37, 1,635.23 and 602.83

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Solution

The fourth proportional to 1,089.37, 1,635.23 and 602.83 is: 904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.37 : 1,635.23 = 602.83 : x
  2. Step 2: Convert to fraction form
    1,089.37/1,635.23 = 602.83/x
  3. Step 3: Cross multiply
    1,089.37x = 1,635.23 × 602.83
  4. Step 4: Simplify right side
    1,089.37x = 985,765.70
  5. Step 5: Solve for x
    x = 985,765.70/1,089.37
  6. Step 6: Final answer
    x = 904.90

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