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Finding the Fourth Proportional to 1,069.37, 1,604.15 and 338.75

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Solution

The fourth proportional to 1,069.37, 1,604.15 and 338.75 is: 508.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.37 : 1,604.15 = 338.75 : x
  2. Step 2: Convert to fraction form
    1,069.37/1,604.15 = 338.75/x
  3. Step 3: Cross multiply
    1,069.37x = 1,604.15 × 338.75
  4. Step 4: Simplify right side
    1,069.37x = 543,405.81
  5. Step 5: Solve for x
    x = 543,405.81/1,069.37
  6. Step 6: Final answer
    x = 508.16

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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.