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Finding the Fourth Proportional to 1,069.06, 1,602.03 and 452.42

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Solution

The fourth proportional to 1,069.06, 1,602.03 and 452.42 is: 677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.06 : 1,602.03 = 452.42 : x
  2. Step 2: Convert to fraction form
    1,069.06/1,602.03 = 452.42/x
  3. Step 3: Cross multiply
    1,069.06x = 1,602.03 × 452.42
  4. Step 4: Simplify right side
    1,069.06x = 724,790.41
  5. Step 5: Solve for x
    x = 724,790.41/1,069.06
  6. Step 6: Final answer
    x = 677.97

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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.