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Finding the Fourth Proportional to 1,069.56, 1,603.80 and 338.94

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Solution

The fourth proportional to 1,069.56, 1,603.80 and 338.94 is: 508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.56 : 1,603.80 = 338.94 : x
  2. Step 2: Convert to fraction form
    1,069.56/1,603.80 = 338.94/x
  3. Step 3: Cross multiply
    1,069.56x = 1,603.80 × 338.94
  4. Step 4: Simplify right side
    1,069.56x = 543,591.97
  5. Step 5: Solve for x
    x = 543,591.97/1,069.56
  6. Step 6: Final answer
    x = 508.24

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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.