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Finding the Fourth Proportional to 1,069.58, 1,604.22 and 339.23

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Solution

The fourth proportional to 1,069.58, 1,604.22 and 339.23 is: 508.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.58 : 1,604.22 = 339.23 : x
  2. Step 2: Convert to fraction form
    1,069.58/1,604.22 = 339.23/x
  3. Step 3: Cross multiply
    1,069.58x = 1,604.22 × 339.23
  4. Step 4: Simplify right side
    1,069.58x = 544,191.53
  5. Step 5: Solve for x
    x = 544,191.53/1,069.58
  6. Step 6: Final answer
    x = 508.79

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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.