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Finding the Fourth Proportional to 1,069.20, 1,603.67 and 338.78

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Solution

The fourth proportional to 1,069.20, 1,603.67 and 338.78 is: 508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.20 : 1,603.67 = 338.78 : x
  2. Step 2: Convert to fraction form
    1,069.20/1,603.67 = 338.78/x
  3. Step 3: Cross multiply
    1,069.20x = 1,603.67 × 338.78
  4. Step 4: Simplify right side
    1,069.20x = 543,293.64
  5. Step 5: Solve for x
    x = 543,293.64/1,069.20
  6. Step 6: Final answer
    x = 508.13

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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.